101000010010100 has 18 divisors (see below), whose sum is σ = 219170021722134. Its totient is φ = 40400004004000.

The previous prime is 101000010010099. The next prime is 101000010010181. The reversal of 101000010010100 is 1010010000101.

It can be written as a sum of positive squares in 3 ways, for example, as 4263382521616 + 96736627488484 = 2064796^2 + 9835478^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505000049951 + ... + 505000050150.

Almost surely, 2^{101000010010100} is an apocalyptic number.

101000010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000010010100 is an abundant number, since it is smaller than the sum of its proper divisors (118170011712034).

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

101000010010100 is a wasteful number, since it uses less digits than its factorization.

101000010010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010000100115 (or 1010000100108 counting only the distinct ones).

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

Adding to 101000010010100 its reverse (1010010000101), we get a palindrome (102010020010201).

Subtracting from 101000010010100 its reverse (1010010000101), we obtain a palindrome (99990000009999).

The spelling of 101000010010100 in words is "one hundred one trillion, ten million, ten thousand, one hundred".