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21020122002100 = 22521352093104113
BaseRepresentation
bin1001100011110001000001…
…11001111011001010110100
32202102111121102222112210211
410301320200321323022310
510223343202213031400
6112412302152555204
74266440134665034
oct461704071731264
982374542875724
1021020122002100
116774646970a31
122435a103b2b04
13b9625c3024a0
14529544c678c4
15266bace16dba
hex131e20e7b2b4

21020122002100 has 72 divisors (see below), whose sum is σ = 49131854309720. Its totient is φ = 7759783342080.

The previous prime is 21020122002079. The next prime is 21020122002101. The reversal of 21020122002100 is 120022102012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1285257550864 + 19734864451236 = 1133692^2 + 4442394^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020122002101) 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, 5219644 + ... + 8323756.

Almost surely, 221020122002100 is an apocalyptic number.

21020122002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020122002100 is an abundant number, since it is smaller than the sum of its proper divisors (28111732307620).

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

21020122002100 is a wasteful number, since it uses less digits than its factorization.

21020122002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109349 (or 3109342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21020122002100 its reverse (120022102012), we get a palindrome (21140144104112).

The spelling of 21020122002100 in words is "twenty-one trillion, twenty billion, one hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 5209 10418 20836 26045 52090 67717 104180 130225 135434 260450 270868 338585 520900 677170 1354340 1692925 3104113 3385850 6208226 6771700 12416452 15520565 31041130 40353469 62082260 77602825 80706938 155205650 161413876 201767345 310411300 403534690 807069380 1008836725 2017673450 4035346900 16169324617 32338649234 64677298468 80846623085 161693246170 210201220021 323386492340 404233115425 420402440042 808466230850 840804880084 1051006100105 1616932461700 2102012200210 4204024400420 5255030500525 10510061001050 21020122002100