212221200109100 has 144 divisors (see below), whose sum is σ = 566813977583616. Its totient is φ = 67162126752000.

The previous prime is 212221200109099. The next prime is 212221200109103. The reversal of 212221200109100 is 1901002122212.

It is not an unprimeable number, because it can be changed into a prime (212221200109103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265238645 + ... + 266037555.

It is an arithmetic number, because the mean of its divisors is an integer number (3936208177664).

Almost surely, 2^{212221200109100} is an apocalyptic number.

212221200109100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221200109100 is an abundant number, since it is smaller than the sum of its proper divisors (354592777474516).

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

212221200109100 is a wasteful number, since it uses less digits than its factorization.

212221200109100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828136 (or 828129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 212221200109100 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred million, one hundred nine thousand, one hundred".