101064694272 has 320 divisors, whose sum is σ = 293692988160. Its totient is φ = 30762860544.

The previous prime is 101064694267. The next prime is 101064694301. The reversal of 101064694272 is 272496460101.

101064694272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142545054 + ... + 142545762.

It is an arithmetic number, because the mean of its divisors is an integer number (917790588).

Almost surely, 2^101064694272 is an apocalyptic number.

101064694272 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 101064694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146846494080).

101064694272 is an abundant number, since it is smaller than the sum of its proper divisors (192628293888).

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

101064694272 is a wasteful number, since it uses less digits than its factorization.

101064694272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 101064694272 in words is "one hundred one billion, sixty-four million, six hundred ninety-four thousand, two hundred seventy-two".