21112102212201 has 192 divisors, whose sum is σ = 44061184880640. Its totient is φ = 9683521436160.

The previous prime is 21112102212193. The next prime is 21112102212203. The reversal of 21112102212201 is 10221220121112.

21112102212201 is a `hidden beast` number, since 2 + 1 + 11 + 210 + 221 + 220 + 1 = 666.

It is not a de Polignac number, because 21112102212201 - 2³ = 21112102212193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21112102212203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6774805 + ... + 9387341.

It is an arithmetic number, because the mean of its divisors is an integer number (229485337920).

Almost surely, 2^{21112102212201} is an apocalyptic number.

21112102212201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21112102212201 is an abundant number, since it is smaller than the sum of its proper divisors (22949082668439).

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

21112102212201 is a wasteful number, since it uses less digits than its factorization.

21112102212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612613 (or 2612594 counting only the distinct ones).

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

Adding to 21112102212201 its reverse (10221220121112), we get a palindrome (31333322333313).

The spelling of 21112102212201 in words is "twenty-one trillion, one hundred twelve billion, one hundred two million, two hundred twelve thousand, two hundred one".