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10212012110100 = 22352374122439051
BaseRepresentation
bin1001010010011010101101…
…0110101011000100010100
31100011020222200102100121110
42110212223112223010110
52314303200100010400
633415200020215020
72102536115503413
oct224465326530424
940136880370543
1010212012110100
113287987678339
12118b1a623a470
13590cb0c8c348
1427439a6a147a
1512a987c2ae50
hex949ab5ab114

10212012110100 has 144 divisors (see below), whose sum is σ = 31085447029056. Its totient is φ = 2584978560000.

The previous prime is 10212012110021. The next prime is 10212012110143. The reversal of 10212012110100 is 101121021201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10764426 + ... + 11674625.

It is an arithmetic number, because the mean of its divisors is an integer number (215871159924).

Almost surely, 210212012110100 is an apocalyptic number.

10212012110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212012110100 is an abundant number, since it is smaller than the sum of its proper divisors (20873434918956).

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

10212012110100 is a wasteful number, since it uses less digits than its factorization.

10212012110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22439146 (or 22439139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10212012110100 its reverse (101121021201), we get a palindrome (10313133131301).

The spelling of 10212012110100 in words is "ten trillion, two hundred twelve billion, twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 41 50 60 74 75 82 100 111 123 148 150 164 185 205 222 246 300 370 410 444 492 555 615 740 820 925 1025 1110 1230 1517 1850 2050 2220 2460 2775 3034 3075 3700 4100 4551 5550 6068 6150 7585 9102 11100 12300 15170 18204 22755 30340 37925 45510 75850 91020 113775 151700 227550 455100 22439051 44878102 67317153 89756204 112195255 134634306 224390510 269268612 336585765 448781020 560976275 673171530 830244887 920001091 1121952550 1346343060 1660489774 1682928825 1840002182 2243905100 2490734661 2760003273 3320979548 3365857650 3680004364 4151224435 4600005455 4981469322 5520006546 6731715300 8302448870 9200010910 9962938644 11040013092 12453673305 13800016365 16604897740 18400021820 20756122175 23000027275 24907346610 27600032730 34040040367 41512244350 46000054550 49814693220 55200065460 62268366525 68080080734 69000081825 83024488700 92000109100 102120121101 124536733050 136160161468 138000163650 170200201835 204240242202 249073466100 276000327300 340400403670 408480484404 510600605505 680800807340 851001009175 1021201211010 1702002018350 2042402422020 2553003027525 3404004036700 5106006055050 10212012110100