101255670264 has 128 divisors (see below), whose sum is σ = 298956718080. Its totient is φ = 27966729600.

The previous prime is 101255670221. The next prime is 101255670323. The reversal of 101255670264 is 462076552101.

It is a super-2 number, since 2×101255670264² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 5046957 + ... + 5066979.

It is an arithmetic number, because the mean of its divisors is an integer number (2335599360).

Almost surely, 2^101255670264 is an apocalyptic number.

101255670264 is a gapful number since it is divisible by the number (14) 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 101255670264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149478359040).

101255670264 is an abundant number, since it is smaller than the sum of its proper divisors (197701047816).

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

101255670264 is a wasteful number, since it uses less digits than its factorization.

101255670264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21041 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 101255670264 in words is "one hundred one billion, two hundred fifty-five million, six hundred seventy thousand, two hundred sixty-four".