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101221200202200 = 233521312977076949
BaseRepresentation
bin10111000000111101100101…
…101011101000100111011000
3111021101122121110221111102020
4113000331211223220213120
5101231402004222432300
6555140213305134440
730214663462452051
oct2700754553504730
9437348543844366
10101221200202200
112a285740756a31
12b42941b18a420
13446316c970aa0
141add1bcba5728
15ba7ee07a18a0
hex5c0f65ae89d8

101221200202200 has 96 divisors (see below), whose sum is σ = 337923083778000. Its totient is φ = 24915987740160.

The previous prime is 101221200202169. The next prime is 101221200202207. The reversal of 101221200202200 is 2202002122101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101221200202200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221200202207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6488530675 + ... + 6488546274.

Almost surely, 2101221200202200 is an apocalyptic number.

101221200202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221200202200 is an abundant number, since it is smaller than the sum of its proper divisors (236701883575800).

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

101221200202200 is a wasteful number, since it uses less digits than its factorization.

101221200202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12977076981 (or 12977076972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101221200202200 its reverse (2202002122101), we get a palindrome (103423202324301).

The spelling of 101221200202200 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 12977076949 25954153898 38931230847 51908307796 64885384745 77862461694 103816615592 129770769490 155724923388 168702000337 194656154235 259541538980 311449846776 324426923725 337404000674 389312308470 506106001011 519083077960 648853847450 674808001348 778624616940 843510001685 973280771175 1012212002022 1297707694900 1349616002696 1557249233880 1687020003370 1946561542350 2024424004044 2530530005055 2595415389800 3374040006740 3893123084700 4048848008088 4217550008425 5061060010110 6748080013480 7786246169400 8435100016850 10122120020220 12652650025275 16870200033700 20244240040440 25305300050550 33740400067400 50610600101100 101221200202200