101100100 has 18 divisors (see below), whose sum is σ = 219387434. Its totient is φ = 40440000.

The previous prime is 101100089. The next prime is 101100113. The reversal of 101100100 is 1001101.

It can be written as a sum of positive squares in 3 ways, for example, as 11343424 + 89756676 = 3368^2 + 9474^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 101100100.

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, 505401 + ... + 505600.

Almost surely, 2^101100100 is an apocalyptic number.

101100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100100 is an abundant number, since it is smaller than the sum of its proper divisors (118287334).

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

101100100 is a wasteful number, since it uses less digits than its factorization.

101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011015 (or 1011008 counting only the distinct ones).

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

The square root of 101100100 is about 10054.8545489231. The cubic root of 101100100 is about 465.8547503620.

Adding to 101100100 its reverse (1001101), we get a palindrome (102101201).

The spelling of 101100100 in words is "one hundred one million, one hundred thousand, one hundred".