21010000202112 has 128 divisors (see below), whose sum is σ = 57027195210240. Its totient is φ = 6850480130048.

The previous prime is 21010000202069. The next prime is 21010000202117. The reversal of 21010000202112 is 21120200001012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×21010000202112³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010000202117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31926058 + ... + 32577494.

It is an arithmetic number, because the mean of its divisors is an integer number (445524962580).

Almost surely, 2^{21010000202112} 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 21010000202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28513597605120).

21010000202112 is an abundant number, since it is smaller than the sum of its proper divisors (36017195008128).

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

21010000202112 is a wasteful number, since it uses less digits than its factorization.

21010000202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653288 (or 653276 counting only the distinct ones).

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

Adding to 21010000202112 its reverse (21120200001012), we get a palindrome (42130200203124).

The spelling of 21010000202112 in words is "twenty-one trillion, ten billion, two hundred two thousand, one hundred twelve".