21012000122112 has 144 divisors (see below), whose sum is σ = 57829087131648. Its totient is φ = 6766021048320.

The previous prime is 21012000122101. The next prime is 21012000122153. The reversal of 21012000122112 is 21122100021012.

It is a super-2 number, since 2×21012000122112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21012000122091 and 21012000122100.

It is a congruent number.

It is an unprimeable number.

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, 12620103 + ... + 14187705.

Almost surely, 2^{21012000122112} 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 21012000122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28914543565824).

21012000122112 is an abundant number, since it is smaller than the sum of its proper divisors (36817087009536).

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

21012000122112 is a wasteful number, since it uses less digits than its factorization.

21012000122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568216 (or 1568202 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21012000122112 its reverse (21122100021012), we get a palindrome (42134100143124).

The spelling of 21012000122112 in words is "twenty-one trillion, twelve billion, one hundred twenty-two thousand, one hundred twelve".