102213312232212 has 36 divisors (see below), whose sum is σ = 258374332171956. Its totient is φ = 34070867648640.

The previous prime is 102213312232201. The next prime is 102213312232223. The reversal of 102213312232212 is 212232213312201.

102213312232212 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 331 + 2 + 2 + 322 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102213312232201) and next prime (102213312232223).

It can be written as a sum of positive squares in 2 ways, for example, as 87583880607876 + 14629431624336 = 9358626^2 + 3824844^2 .

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

It is a super-2 number, since 2×102213312232212² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4552239 + ... + 15004982.

Almost surely, 2^{102213312232212} is an apocalyptic number.

102213312232212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213312232212 is an abundant number, since it is smaller than the sum of its proper divisors (156161019939744).

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

102213312232212 is a wasteful number, since it uses less digits than its factorization.

102213312232212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19702408 (or 19702403 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102213312232212 its reverse (212232213312201), we get a palindrome (314445525544413).

The spelling of 102213312232212 in words is "one hundred two trillion, two hundred thirteen billion, three hundred twelve million, two hundred thirty-two thousand, two hundred twelve".