101001000101000 has 64 divisors (see below), whose sum is σ = 236779203501360. Its totient is φ = 40325722560000.

The previous prime is 101001000100991. The next prime is 101001000101041. The reversal of 101001000101000 is 101000100101.

It can be written as a sum of positive squares in 8 ways, for example, as 8238174329284 + 92762825771716 = 2870222^2 + 9631346^2 .

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 15 ways as a sum of consecutive naturals, for example, 92805581 + ... + 93887580.

Almost surely, 2^{101001000101000} is an apocalyptic number.

101001000101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001000101000 is an abundant number, since it is smaller than the sum of its proper divisors (135778203400360).

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

101001000101000 is a wasteful number, since it uses less digits than its factorization.

101001000101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186693723 (or 186693709 counting only the distinct ones).

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

Adding to 101001000101000 its reverse (101000100101), we get a palindrome (101102000201101).

The spelling of 101001000101000 in words is "one hundred one trillion, one billion, one hundred one thousand".