101011000100000 has 72 divisors (see below), whose sum is σ = 248565849072156. Its totient is φ = 40404400000000.

The previous prime is 101011000099979. The next prime is 101011000100039. The reversal of 101011000100000 is 1000110101.

It can be written as a sum of positive squares in 6 ways, for example, as 36091690308496 + 64919309791504 = 6007636^2 + 8057252^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 504955001 + ... + 505155000.

Almost surely, 2^{101011000100000} is an apocalyptic number.

101011000100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011000100000 is an abundant number, since it is smaller than the sum of its proper divisors (147554848972156).

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

101011000100000 is an frugal number, since it uses more digits than its factorization.

101011000100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010110036 (or 1010110008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101011000100000 its reverse (1000110101), we get a palindrome (101012000210101).

The spelling of 101011000100000 in words is "one hundred one trillion, eleven billion, one hundred thousand".