212100112102122 has 64 divisors (see below), whose sum is σ = 476005959400320. Its totient is φ = 69999197616000.

The previous prime is 212100112102091. The next prime is 212100112102129. The reversal of 212100112102122 is 221201211001212.

212100112102122 is a `hidden beast` number, since 21 + 210 + 0 + 11 + 210 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212100112102095 and 212100112102104.

It is not an unprimeable number, because it can be changed into a prime (212100112102129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593003713 + ... + 593361275.

It is an arithmetic number, because the mean of its divisors is an integer number (7437593115630).

Almost surely, 2^{212100112102122} is an apocalyptic number.

212100112102122 is an abundant number, since it is smaller than the sum of its proper divisors (263905847298198).

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

212100112102122 is a wasteful number, since it uses less digits than its factorization.

212100112102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466436 (or 466430 counting only the distinct ones).

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

Adding to 212100112102122 its reverse (221201211001212), we get a palindrome (433301323103334).

The spelling of 212100112102122 in words is "two hundred twelve trillion, one hundred billion, one hundred twelve million, one hundred two thousand, one hundred twenty-two".