101310011200 has 42 divisors (see below), whose sum is σ = 249285950246. Its totient is φ = 40524003840.

The previous prime is 101310011183. The next prime is 101310011233. The reversal of 101310011200 is 2110013101.

It can be written as a sum of positive squares in 3 ways, for example, as 1079516736 + 100230494464 = 32856^2 + 316592^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 31657779 + ... + 31660978.

Almost surely, 2^101310011200 is an apocalyptic number.

101310011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101310011200 is an abundant number, since it is smaller than the sum of its proper divisors (147975939046).

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

101310011200 is an equidigital number, since it uses as much as digits as its factorization.

101310011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63318779 (or 63318764 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101310011200 its reverse (2110013101), we get a palindrome (103420024301).

The spelling of 101310011200 in words is "one hundred one billion, three hundred ten million, eleven thousand, two hundred".