102112100221212 has 36 divisors (see below), whose sum is σ = 258120572913840. Its totient is φ = 34036855733952.

The previous prime is 102112100221207. The next prime is 102112100221213. The reversal of 102112100221212 is 212122001211201.

102112100221212 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 210 + 0 + 221 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112100221213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18856912 + ... + 23660247.

Almost surely, 2^{102112100221212} is an apocalyptic number.

102112100221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112100221212 is an abundant number, since it is smaller than the sum of its proper divisors (156008472692628).

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

102112100221212 is a wasteful number, since it uses less digits than its factorization.

102112100221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42583882 (or 42583877 counting only the distinct ones).

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

Adding to 102112100221212 its reverse (212122001211201), we get a palindrome (314234101432413).

The spelling of 102112100221212 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, two hundred twenty-one thousand, two hundred twelve".