21022111122012 has 576 divisors, whose sum is σ = 72714659297280. Its totient is φ = 4944154982400.

The previous prime is 21022111121987. The next prime is 21022111122037.

21022111122012 is a `hidden beast` number, since 210 + 2 + 211 + 11 + 220 + 12 = 666.

21022111122012 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21022111121987) and next prime (21022111122037).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 819914289 + ... + 819939927.

Almost surely, 2^{21022111122012} is an apocalyptic number.

21022111122012 is a gapful number since it is divisible by the number (22) 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 21022111122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36357329648640).

21022111122012 is an abundant number, since it is smaller than the sum of its proper divisors (51692548175268).

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

21022111122012 is a wasteful number, since it uses less digits than its factorization.

21022111122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26114 (or 26109 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, 2102211 and 1122012, that added together give a palindrome (3224223).

The spelling of 21022111122012 in words is "twenty-one trillion, twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, twelve".