102212313012 has 18 divisors (see below), whose sum is σ = 258370013538. Its totient is φ = 34070770992.

The previous prime is 102212312987. The next prime is 102212313023. The reversal of 102212313012 is 210313212201.

It can be written as a sum of positive squares in only one way, i.e., 87820951716 + 14391361296 = 296346^2 + 119964^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1419615423 + ... + 1419615494.

It is an arithmetic number, because the mean of its divisors is an integer number (14353889641).

Almost surely, 2^102212313012 is an apocalyptic number.

102212313012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212313012 is an abundant number, since it is smaller than the sum of its proper divisors (156157700526).

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

102212313012 is a wasteful number, since it uses less digits than its factorization.

102212313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839230927 (or 2839230922 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102212313012 its reverse (210313212201), we get a palindrome (312525525213).

The spelling of 102212313012 in words is "one hundred two billion, two hundred twelve million, three hundred thirteen thousand, twelve".