21010100102000 has 40 divisors (see below), whose sum is σ = 50802422051472. Its totient is φ = 8404040040000.

The previous prime is 21010100101961. The next prime is 21010100102039. The reversal of 21010100102000 is 20100101012.

It is an interprime number because it is at equal distance from previous prime (21010100101961) and next prime (21010100102039).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5252523026 + ... + 5252527025.

Almost surely, 2^{21010100102000} is an apocalyptic number.

21010100102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010100102000 is an abundant number, since it is smaller than the sum of its proper divisors (29792321949472).

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

21010100102000 is a wasteful number, since it uses less digits than its factorization.

21010100102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505050074 (or 10505050058 counting only the distinct ones).

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

Adding to 21010100102000 its reverse (20100101012), we get a palindrome (21030200203012).

The spelling of 21010100102000 in words is "twenty-one trillion, ten billion, one hundred million, one hundred two thousand".