10001100100100 has 36 divisors (see below), whose sum is σ = 21704581304868. Its totient is φ = 4000035600000.

The previous prime is 10001100100087. The next prime is 10001100100109. The reversal of 10001100100100 is 100100110001.

It can be written as a sum of positive squares in 6 ways, for example, as 1568069955076 + 8433030145024 = 1252226^2 + 2903968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10001100100109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4060451 + ... + 6040650.

Almost surely, 2^{10001100100100} is an apocalyptic number.

10001100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001100100100 is an abundant number, since it is smaller than the sum of its proper divisors (11703481204768).

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

10001100100100 is a wasteful number, since it uses less digits than its factorization.

10001100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111016 (or 10111009 counting only the distinct ones).

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

Adding to 10001100100100 its reverse (100100110001), we get a palindrome (10101200210101).

Subtracting from 10001100100100 its reverse (100100110001), we obtain a palindrome (9900999990099).

The spelling of 10001100100100 in words is "ten trillion, one billion, one hundred million, one hundred thousand, one hundred".