102212210011212 has 144 divisors (see below), whose sum is σ = 312653697894720. Its totient is φ = 27485233238016.

The previous prime is 102212210011181. The next prime is 102212210011217. The reversal of 102212210011212 is 212110012212201.

102212210011212 is a `hidden beast` number, since 1 + 0 + 221 + 221 + 0 + 0 + 11 + 212 = 666.

It is a super-2 number, since 2×102212210011212² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102212210011217) 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, 397465218 + ... + 397722294.

It is an arithmetic number, because the mean of its divisors is an integer number (2171206235380).

Almost surely, 2^{102212210011212} is an apocalyptic number.

102212210011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212210011212 is an abundant number, since it is smaller than the sum of its proper divisors (210441487883508).

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

102212210011212 is a wasteful number, since it uses less digits than its factorization.

102212210011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349920 (or 349915 counting only the distinct ones).

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

Adding to 102212210011212 its reverse (212110012212201), we get a palindrome (314322222223413).

The spelling of 102212210011212 in words is "one hundred two trillion, two hundred twelve billion, two hundred ten million, eleven thousand, two hundred twelve".