102233013012 has 36 divisors (see below), whose sum is σ = 278300981140. Its totient is φ = 31456311552.

The previous prime is 102233013011. The next prime is 102233013049. The reversal of 102233013012 is 210310332201.

102233013012 is a `hidden beast` number, since 10 + 22 + 330 + 1 + 301 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5165871876 + 97067141136 = 71874^2 + 311556^2 .

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

It is a super-2 number, since 2×102233013012² (a number of 23 digits) contains 22 as substring.

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 (102233013011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109222837 + ... + 109223772.

Almost surely, 2^102233013012 is an apocalyptic number.

102233013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102233013012 is an abundant number, since it is smaller than the sum of its proper divisors (176067968128).

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

102233013012 is a wasteful number, since it uses less digits than its factorization.

102233013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218446632 (or 218446627 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102233013012 its reverse (210310332201), we get a palindrome (312543345213).

The spelling of 102233013012 in words is "one hundred two billion, two hundred thirty-three million, thirteen thousand, twelve".