101257264700 has 18 divisors (see below), whose sum is σ = 219728264616. Its totient is φ = 40502905840.

The previous prime is 101257264681. The next prime is 101257264709. The reversal of 101257264700 is 7462752101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101257264709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506286224 + ... + 506286423.

It is an arithmetic number, because the mean of its divisors is an integer number (12207125812).

Almost surely, 2^101257264700 is an apocalyptic number.

101257264700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101257264700 is an abundant number, since it is smaller than the sum of its proper divisors (118470999916).

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

101257264700 is a wasteful number, since it uses less digits than its factorization.

101257264700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012572661 (or 1012572654 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 101257264700 in words is "one hundred one billion, two hundred fifty-seven million, two hundred sixty-four thousand, seven hundred".