102213302123232 has 96 divisors (see below), whose sum is σ = 299787618412800. Its totient is φ = 33880759311744.

The previous prime is 102213302123221. The next prime is 102213302123239. The reversal of 102213302123232 is 232321203312201.

102213302123232 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 3 + 302 + 123 + 232 = 666.

102213302123232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102213302123196 and 102213302123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213302123239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330299068 + ... + 330608379.

It is an arithmetic number, because the mean of its divisors is an integer number (3122787691800).

Almost surely, 2^{102213302123232} is an apocalyptic number.

102213302123232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213302123232 is an abundant number, since it is smaller than the sum of its proper divisors (197574316289568).

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

102213302123232 is a wasteful number, since it uses less digits than its factorization.

102213302123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660907645 (or 660907631 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102213302123232 its reverse (232321203312201), we get a palindrome (334534505435433).

The spelling of 102213302123232 in words is "one hundred two trillion, two hundred thirteen billion, three hundred two million, one hundred twenty-three thousand, two hundred thirty-two".