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21010120000100 = 225271171101380503
BaseRepresentation
bin1001100011011110011001…
…01111010100001001100100
32202101112210101110012110022
410301233030233110021210
510223212211210000400
6112403525455214312
74265634234244250
oct461571457241144
982345711405408
1021010120000100
116770384009880
122433a9a817398
13b953270939ca
14528c76743260
152667c4cb0b85
hex131bccbd4264

21010120000100 has 288 divisors, whose sum is σ = 58213386104832. Its totient is φ = 6392433600000.

The previous prime is 21010120000097. The next prime is 21010120000117. The reversal of 21010120000100 is 100002101012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55026449 + ... + 55406951.

It is an arithmetic number, because the mean of its divisors is an integer number (202129812864).

Almost surely, 221010120000100 is an apocalyptic number.

21010120000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010120000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29106693052416).

21010120000100 is an abundant number, since it is smaller than the sum of its proper divisors (37203266104732).

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

21010120000100 is a wasteful number, since it uses less digits than its factorization.

21010120000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380707 (or 380700 counting only the distinct ones).

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

Adding to 21010120000100 its reverse (100002101012), we get a palindrome (21110122101112).

The spelling of 21010120000100 in words is "twenty-one trillion, ten billion, one hundred twenty million, one hundred", and thus it is an aban number.