101100013200 has 180 divisors, whose sum is σ = 371483302788. Its totient is φ = 25374105600.

The previous prime is 101100013187. The next prime is 101100013211. The reversal of 101100013200 is 2310001101.

It can be written as a sum of positive squares in 6 ways, for example, as 1398161664 + 99701851536 = 37392^2 + 315756^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 764781 + ... + 887180.

Almost surely, 2^101100013200 is an apocalyptic number.

101100013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100013200 is an abundant number, since it is smaller than the sum of its proper divisors (270383289588).

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

101100013200 is a wasteful number, since it uses less digits than its factorization.

101100013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652002 (or 1651988 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101100013200 its reverse (2310001101), we get a palindrome (103410014301).

The spelling of 101100013200 in words is "one hundred one billion, one hundred million, thirteen thousand, two hundred".