101129064960 has 1280 divisors, whose sum is σ = 426860679168. Its totient is φ = 19818086400.

The previous prime is 101129064947. The next prime is 101129064979. The reversal of 101129064960 is 69460921101.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1042567632 + ... + 1042567728.

Almost surely, 2^101129064960 is an apocalyptic number.

101129064960 is a gapful number since it is divisible by the number (10) 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 101129064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213430339584).

101129064960 is an abundant number, since it is smaller than the sum of its proper divisors (325731614208).

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

101129064960 is a wasteful number, since it uses less digits than its factorization.

101129064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 101129064960 in words is "one hundred one billion, one hundred twenty-nine million, sixty-four thousand, nine hundred sixty".