21110010202100 has 36 divisors (see below), whose sum is σ = 45832420810764. Its totient is φ = 8439635662080.

The previous prime is 21110010202093. The next prime is 21110010202109. The reversal of 21110010202100 is 120201001112.

It can be written as a sum of positive squares in 6 ways, for example, as 3015348898576 + 18094661303524 = 1736476^2 + 4253782^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110010202109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54410969 + ... + 54797568.

It is an arithmetic number, because the mean of its divisors is an integer number (1273122800299).

Almost surely, 2^{21110010202100} is an apocalyptic number.

21110010202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110010202100 is an abundant number, since it is smaller than the sum of its proper divisors (24722410608664).

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

21110010202100 is a wasteful number, since it uses less digits than its factorization.

21110010202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109210484 (or 109210477 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21110010202100 its reverse (120201001112), we get a palindrome (21230211203212).

The spelling of 21110010202100 in words is "twenty-one trillion, one hundred ten billion, ten million, two hundred two thousand, one hundred".