21122101002112 has 128 divisors (see below), whose sum is σ = 49270658421600. Its totient is φ = 8912408739840.

The previous prime is 21122101002097. The next prime is 21122101002137. The reversal of 21122101002112 is 21120010122112.

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

It is a super-2 number, since 2×21122101002112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4296787 + ... + 7791442.

Almost surely, 2^{21122101002112} is an apocalyptic number.

21122101002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122101002112 is an abundant number, since it is smaller than the sum of its proper divisors (28148557419488).

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

21122101002112 is a wasteful number, since it uses less digits than its factorization.

21122101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088344 (or 12088332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21122101002112 its reverse (21120010122112), we get a palindrome (42242111124224).

The spelling of 21122101002112 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, two thousand, one hundred twelve".