212102112100104 has 96 divisors (see below), whose sum is σ = 588463563018240. Its totient is φ = 68975179257600.

The previous prime is 212102112100097. The next prime is 212102112100111. The reversal of 212102112100104 is 401001211201212.

212102112100104 is a `hidden beast` number, since 21 + 210 + 211 + 210 + 0 + 10 + 4 = 666.

212102112100104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212102112100097) and next prime (212102112100111).

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

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, 192532209 + ... + 193630719.

It is an arithmetic number, because the mean of its divisors is an integer number (6129828781440).

Almost surely, 2^{212102112100104} is an apocalyptic number.

212102112100104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212102112100104 is an abundant number, since it is smaller than the sum of its proper divisors (376361450918136).

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

212102112100104 is a wasteful number, since it uses less digits than its factorization.

212102112100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163971 (or 1163964 counting only the distinct ones).

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

Adding to 212102112100104 its reverse (401001211201212), we get a palindrome (613103323301316).

The spelling of 212102112100104 in words is "two hundred twelve trillion, one hundred two billion, one hundred twelve million, one hundred thousand, one hundred four".