10021000202112 has 128 divisors (see below), whose sum is σ = 26695416229920. Its totient is φ = 3330667929600.

The previous prime is 10021000202093. The next prime is 10021000202117. The reversal of 10021000202112 is 21120200012001.

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

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 (10021000202117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186026062 + ... + 186079922.

Almost surely, 2^{10021000202112} is an apocalyptic number.

10021000202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021000202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347708114960).

10021000202112 is an abundant number, since it is smaller than the sum of its proper divisors (16674416027808).

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

10021000202112 is an equidigital number, since it uses as much as digits as its factorization.

10021000202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55272 (or 55260 counting only the distinct ones).

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

Adding to 10021000202112 its reverse (21120200012001), we get a palindrome (31141200214113).

The spelling of 10021000202112 in words is "ten trillion, twenty-one billion, two hundred two thousand, one hundred twelve".