21002100002112 has 112 divisors (see below), whose sum is σ = 56428429842432. Its totient is φ = 6892421352960.

The previous prime is 21002100002087. The next prime is 21002100002201. The reversal of 21002100002112 is 21120000120012.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 23003287 + ... + 23898857.

Almost surely, 2^{21002100002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28214214921216).

21002100002112 is an abundant number, since it is smaller than the sum of its proper divisors (35426329840320).

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

21002100002112 is a wasteful number, since it uses less digits than its factorization.

21002100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897476 (or 897466 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21002100002112 its reverse (21120000120012), we get a palindrome (42122100122124).

The spelling of 21002100002112 in words is "twenty-one trillion, two billion, one hundred million, two thousand, one hundred twelve".