102010033210032 has 120 divisors (see below), whose sum is σ = 286326377064000. Its totient is φ = 33903313956864.

The previous prime is 102010033210027. The next prime is 102010033210067. The reversal of 102010033210032 is 230012330010201.

102010033210032 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 0 + 332 + 100 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102010033209987 and 102010033210014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722057833 + ... + 722199095.

It is an arithmetic number, because the mean of its divisors is an integer number (2386053142200).

Almost surely, 2^{102010033210032} is an apocalyptic number.

102010033210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010033210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143163188532000).

102010033210032 is an abundant number, since it is smaller than the sum of its proper divisors (184316343853968).

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

102010033210032 is a wasteful number, since it uses less digits than its factorization.

102010033210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155995 (or 155986 counting only the distinct ones).

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

Adding to 102010033210032 its reverse (230012330010201), we get a palindrome (332022363220233).

The spelling of 102010033210032 in words is "one hundred two trillion, ten billion, thirty-three million, two hundred ten thousand, thirty-two".