212111210122100 has 18 divisors (see below), whose sum is σ = 460281325965174. Its totient is φ = 84844484048800.

The previous prime is 212111210122067. The next prime is 212111210122109. The reversal of 212111210122100 is 1221012111212.

It can be written as a sum of positive squares in 3 ways, for example, as 4935604310884 + 207175605811216 = 2221622^2 + 14393596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111210122109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060556050511 + ... + 1060556050710.

It is an arithmetic number, because the mean of its divisors is an integer number (25571184775843).

Almost surely, 2^{212111210122100} is an apocalyptic number.

212111210122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111210122100 is an abundant number, since it is smaller than the sum of its proper divisors (248170115843074).

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

212111210122100 is a wasteful number, since it uses less digits than its factorization.

212111210122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121112101235 (or 2121112101228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212111210122100 its reverse (1221012111212), we get a palindrome (213332222233312).

The spelling of 212111210122100 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, one hundred".