101138088500 has 24 divisors (see below), whose sum is σ = 220885586376. Its totient is φ = 40455235200.

The previous prime is 101138088437. The next prime is 101138088533. The reversal of 101138088500 is 5880831101.

It can be written as a sum of positive squares in 4 ways, for example, as 7460467876 + 93677620624 = 86374^2 + 306068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101137589 + ... + 101138588.

It is an arithmetic number, because the mean of its divisors is an integer number (9203566099).

Almost surely, 2^101138088500 is an apocalyptic number.

101138088500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101138088500 is an abundant number, since it is smaller than the sum of its proper divisors (119747497876).

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

101138088500 is a wasteful number, since it uses less digits than its factorization.

101138088500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202276196 (or 202276184 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 35.

The spelling of 101138088500 in words is "one hundred one billion, one hundred thirty-eight million, eighty-eight thousand, five hundred".