101331700 has 36 divisors (see below), whose sum is σ = 220884300. Its totient is φ = 40349440.

The previous prime is 101331683. The next prime is 101331719. The reversal of 101331700 is 7133101.

It is a happy number.

101331700 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 34058896 + 67272804 = 5836^2 + 8202^2 .

It is a super-2 number, since 2×101331700² = 20536226849780000, which contains 22 as substring.

101331700 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21126 + ... + 25474.

It is an arithmetic number, because the mean of its divisors is an integer number (6135675).

Almost surely, 2^101331700 is an apocalyptic number.

101331700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331700 is an abundant number, since it is smaller than the sum of its proper divisors (119552600).

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

101331700 is a wasteful number, since it uses less digits than its factorization.

101331700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 101331700 is about 10066.3647857605. The cubic root of 101331700 is about 466.2102055943.

Adding to 101331700 its reverse (7133101), we get a palindrome (108464801).

The spelling of 101331700 in words is "one hundred one million, three hundred thirty-one thousand, seven hundred".