101100100000 has 72 divisors (see below), whose sum is σ = 248785350156. Its totient is φ = 40440000000.

The previous prime is 101100099959. The next prime is 101100100027. The reversal of 101100100000 is 1001101.

It can be written as a sum of positive squares in 6 ways, for example, as 6883025296 + 94217074704 = 82964^2 + 306948^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405501 + ... + 605500.

Almost surely, 2^101100100000 is an apocalyptic number.

101100100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100100000 is an abundant number, since it is smaller than the sum of its proper divisors (147685250156).

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

101100100000 is an frugal number, since it uses more digits than its factorization.

101100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011036 (or 1011008 counting only the distinct ones).

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

Adding to 101100100000 its reverse (1001101), we get a palindrome (101101101101).

The spelling of 101100100000 in words is "one hundred one billion, one hundred million, one hundred thousand".