212122211001100 has 72 divisors (see below), whose sum is σ = 469912206225168. Its totient is φ = 83090262508800.

The previous prime is 212122211001079. The next prime is 212122211001199. The reversal of 212122211001100 is 1100112221212.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75210307 + ... + 77979706.

It is an arithmetic number, because the mean of its divisors is an integer number (6526558419794).

Almost surely, 2^{212122211001100} is an apocalyptic number.

212122211001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122211001100 is an abundant number, since it is smaller than the sum of its proper divisors (257789995224068).

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

212122211001100 is a wasteful number, since it uses less digits than its factorization.

212122211001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153190315 (or 153190308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212122211001100 its reverse (1100112221212), we get a palindrome (213222323222312).

The spelling of 212122211001100 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred eleven million, one thousand, one hundred".