102010033233312 has 96 divisors (see below), whose sum is σ = 267883495488000. Its totient is φ = 33989739694848.

The previous prime is 102010033233271. The next prime is 102010033233377. The reversal of 102010033233312 is 213332330010201.

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

It is a super-2 number, since 2×102010033233312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3630365439 + ... + 3630393537.

It is an arithmetic number, because the mean of its divisors is an integer number (2790453078000).

Almost surely, 2^{102010033233312} is an apocalyptic number.

102010033233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010033233312 is an abundant number, since it is smaller than the sum of its proper divisors (165873462254688).

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

102010033233312 is a wasteful number, since it uses less digits than its factorization.

102010033233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41898 (or 41890 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 102010033233312 its reverse (213332330010201), we get a palindrome (315342363243513).

The spelling of 102010033233312 in words is "one hundred two trillion, ten billion, thirty-three million, two hundred thirty-three thousand, three hundred twelve".