21110102000100 has 108 divisors (see below), whose sum is σ = 67956778311604. Its totient is φ = 5477215645440.

The previous prime is 21110102000047. The next prime is 21110102000159. The reversal of 21110102000100 is 100020101112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1664150436 + 21108437849664 = 40794^2 + 4594392^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316935199 + ... + 317001798.

Almost surely, 2^{21110102000100} is an apocalyptic number.

21110102000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110102000100 is an abundant number, since it is smaller than the sum of its proper divisors (46846676311504).

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

21110102000100 is a wasteful number, since it uses less digits than its factorization.

21110102000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633937054 (or 633937044 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21110102000100 its reverse (100020101112), we get a palindrome (21210122101212).

The spelling of 21110102000100 in words is "twenty-one trillion, one hundred ten billion, one hundred two million, one hundred", and thus it is an aban number.