21122100122112 has 120 divisors (see below), whose sum is σ = 66501612262800. Its totient is φ = 6400636385280.

The previous prime is 21122100122089. The next prime is 21122100122143.

21122100122112 is a `hidden beast` number, since 211 + 221 + 0 + 0 + 1 + 221 + 12 = 666.

21122100122112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21122100122112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208303362 + ... + 208404737.

It is an arithmetic number, because the mean of its divisors is an integer number (554180102190).

Almost surely, 2^{21122100122112} is an apocalyptic number.

21122100122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122100122112 is an abundant number, since it is smaller than the sum of its proper divisors (45379512140688).

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

21122100122112 is a wasteful number, since it uses less digits than its factorization.

21122100122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416708134 (or 416708115 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 21122100 and 122112, that added together give a palindrome (21244212).

The spelling of 21122100122112 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".