101100200000 has 84 divisors (see below), whose sum is σ = 250760333124. Its totient is φ = 40440000000.

The previous prime is 101100199933. The next prime is 101100200023. The reversal of 101100200000 is 2001101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 65094378496 + 36005821504 = 255136^2 + 189752^2 .

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

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, 52751 + ... + 452750.

It is an arithmetic number, because the mean of its divisors is an integer number (2985242061).

Almost surely, 2^101100200000 is an apocalyptic number.

101100200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100200000 is an abundant number, since it is smaller than the sum of its proper divisors (149660133124).

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

101100200000 is an frugal number, since it uses more digits than its factorization.

101100200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505538 (or 505508 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 101100200000 its reverse (2001101), we get a palindrome (101102201101).

The spelling of 101100200000 in words is "one hundred one billion, one hundred million, two hundred thousand".