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21101122202100 = 22352611153066787
BaseRepresentation
bin1001100110000111111001…
…11001001010100111110100
32202201020200111011001021020
410303003330321022213310
510231210044240431400
6112513415520221140
74305335323222443
oct463037471124764
982636614131236
1021101122202100
1167a5a32418086
12244965716a7b0
13ba0a9a714505
1452d42a7a2d5a
15268d4e1062a0
hex1330fce4a9f4

21101122202100 has 72 divisors (see below), whose sum is σ = 62053442263008. Its totient is φ = 5534720572800.

The previous prime is 21101122202087. The next prime is 21101122202119. The reversal of 21101122202100 is 120222110112.

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 21101122202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576515094 + ... + 576551693.

It is an arithmetic number, because the mean of its divisors is an integer number (861853364764).

Almost surely, 221101122202100 is an apocalyptic number.

21101122202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101122202100 is an abundant number, since it is smaller than the sum of its proper divisors (40952320060908).

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

21101122202100 is a wasteful number, since it uses less digits than its factorization.

21101122202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153066865 (or 1153066858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21101122202100 its reverse (120222110112), we get a palindrome (21221344312212).

The spelling of 21101122202100 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300 1153066787 2306133574 3459200361 4612267148 5765333935 6918400722 11530667870 13836801444 17296001805 23061335740 28826669675 34592003610 57653339350 69184007220 70337074007 86480009025 115306678700 140674148014 172960018050 211011222021 281348296028 345920036100 351685370035 422022444042 703370740070 844044888084 1055056110105 1406741480140 1758426850175 2110112220210 3516853700350 4220224440420 5275280550525 7033707400700 10550561101050 21101122202100