202122100112112 has 160 divisors (see below), whose sum is σ = 598906024704000. Its totient is φ = 65197876423680.

The previous prime is 202122100112099. The next prime is 202122100112147. The reversal of 202122100112112 is 211211001221202.

202122100112112 is a `hidden beast` number, since 20 + 212 + 210 + 0 + 11 + 211 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 323493064 + ... + 324117272.

It is an arithmetic number, because the mean of its divisors is an integer number (3743162654400).

Almost surely, 2^{202122100112112} 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 202122100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299453012352000).

202122100112112 is an abundant number, since it is smaller than the sum of its proper divisors (396783924591888).

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

202122100112112 is a wasteful number, since it uses less digits than its factorization.

202122100112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648436 (or 648424 counting only the distinct ones).

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

Adding to 202122100112112 its reverse (211211001221202), we get a palindrome (413333101333314).

The spelling of 202122100112112 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred million, one hundred twelve thousand, one hundred twelve".