102010117264 has 80 divisors (see below), whose sum is σ = 224729616384. Its totient is φ = 44436585600.

The previous prime is 102010117259. The next prime is 102010117271. The reversal of 102010117264 is 462711010201.

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, 471207 + ... + 652729.

Almost surely, 2^102010117264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010117264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112364808192).

102010117264 is an abundant number, since it is smaller than the sum of its proper divisors (122719499120).

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

102010117264 is a wasteful number, since it uses less digits than its factorization.

102010117264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181676 (or 181670 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 102010117264 its reverse (462711010201), we get a palindrome (564721127465).

The spelling of 102010117264 in words is "one hundred two billion, ten million, one hundred seventeen thousand, two hundred sixty-four".