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21210100000100 = 225211101190909991
BaseRepresentation
bin1001101001010010111000…
…11110011110010101100100
32210002122222100002210002222
410310221130132132111210
510240001241100000400
6113035441352451512
74316244023222234
oct464513436362544
983078870083088
1021210100000100
11683817555a750
1224667ab6a9b98
13bab1471cc75b
14534807cd9cc4
1526bacb5d4185
hex134a5c79e564

21210100000100 has 72 divisors (see below), whose sum is σ = 50707221155136. Its totient is φ = 7636399600000.

The previous prime is 21210100000097. The next prime is 21210100000121. The reversal of 21210100000100 is 100000101212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95343896 + ... + 95566095.

It is an arithmetic number, because the mean of its divisors is an integer number (704266960488).

Almost surely, 221210100000100 is an apocalyptic number.

21210100000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210100000100 is an abundant number, since it is smaller than the sum of its proper divisors (29497121155036).

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

21210100000100 is a wasteful number, since it uses less digits than its factorization.

21210100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190910117 (or 190910110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21210100000100 its reverse (100000101212), we get a palindrome (21310100101312).

The spelling of 21210100000100 in words is "twenty-one trillion, two hundred ten billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 190909991 381819982 763639964 954549955 1909099910 2100009901 3818199820 4200019802 4772749775 8400039604 9545499550 10500049505 19090999100 19281909091 21000099010 38563818182 42000198020 52500247525 77127636364 96409545455 105000495050 192819090910 210000990100 212101000001 385638181820 424202000002 482047727275 848404000004 964095454550 1060505000005 1928190909100 2121010000010 4242020000020 5302525000025 10605050000050 21210100000100