1000100100100 has 18 divisors (see below), whose sum is σ = 2170217217434. Its totient is φ = 400040040000.

The previous prime is 1000100100059. The next prime is 1000100100119. The reversal of 1000100100100 is 10010010001.

It can be written as a sum of positive squares in 3 ways, for example, as 52099524 + 1000048000576 = 7218^2 + 1000024^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

1000100100100 is a modest number, since divided by 100100100 gives 1000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100100100.

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, 5000500401 + ... + 5000500600.

Almost surely, 2^{1000100100100} is an apocalyptic number.

1000100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100100100 is an abundant number, since it is smaller than the sum of its proper divisors (1170117117334).

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

1000100100100 is a wasteful number, since it uses less digits than its factorization.

1000100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001001015 (or 10001001008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1000100100100 its reverse (10010010001), we get a palindrome (1010110110101).

Subtracting from 1000100100100 its reverse (10010010001), we obtain a palindrome (990090090099).

The spelling of 1000100100100 in words is "one trillion, one hundred million, one hundred thousand, one hundred".