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100102000101210 = 23351731768797207
BaseRepresentation
bin10110110000101011010000…
…001010000100011101011010
3111010102122202111111112121000
4112300223100022010131122
5101110032344011214320
6552522120214525430
730041062610533512
oct2660532012043532
9433378674445530
10100102000101210
1129994024448988
12b288531366876
1343b1769136b13
141aa0d69756842
15b88d393dbc90
hex5b0ad028475a

100102000101210 has 128 divisors (see below), whose sum is σ = 283532557386240. Its totient is φ = 25044384494592.

The previous prime is 100102000101209. The next prime is 100102000101247. The reversal of 100102000101210 is 12101000201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102000101192 and 100102000101201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32943574 + ... + 35853633.

It is an arithmetic number, because the mean of its divisors is an integer number (2215098104580).

Almost surely, 2100102000101210 is an apocalyptic number.

100102000101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102000101210 is an abundant number, since it is smaller than the sum of its proper divisors (183430557285030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100102000101210 is a wasteful number, since it uses less digits than its factorization.

100102000101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68797557 (or 68797551 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102000101210 its reverse (12101000201001), we get a palindrome (112203000302211).

The spelling of 100102000101210 in words is "one hundred trillion, one hundred two billion, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 317 459 510 634 765 918 951 1530 1585 1902 2295 2853 3170 4590 4755 5389 5706 8559 9510 10778 14265 16167 17118 26945 28530 32334 42795 48501 53890 80835 85590 97002 145503 161670 242505 291006 485010 727515 1455030 68797207 137594414 206391621 343986035 412783242 619174863 687972070 1031958105 1169552519 1238349726 1857524589 2063916210 2339105038 3095874315 3508657557 3715049178 5847762595 6191748630 7017315114 9287622945 10525972671 11695525190 17543287785 18575245890 21051945342 21808714619 31577918013 35086575570 43617429238 52629863355 63155836026 65426143857 105259726710 109043573095 130852287714 157889590065 196278431571 218087146190 315779180130 327130719285 370748148523 392556863142 588835294713 654261438570 741496297046 981392157855 1112244445569 1177670589426 1853740742615 1962784315710 2224488891138 2944176473565 3336733336707 3707481485230 5561222227845 5888352947130 6673466673414 10010200010121 11122444455690 16683666683535 20020400020242 33367333367070 50051000050605 100102000101210