101201112200 has 48 divisors (see below), whose sum is σ = 249133334580. Its totient is φ = 38099240960.

The previous prime is 101201112157. The next prime is 101201112241. The reversal of 101201112200 is 2211102101.

It can be written as a sum of positive squares in 6 ways, for example, as 63058240996 + 38142871204 = 251114^2 + 195302^2 .

It is a super-2 number, since 2×101201112200² (a number of 23 digits) contains 22 as substring.

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, 14879117 + ... + 14885916.

Almost surely, 2^101201112200 is an apocalyptic number.

101201112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201112200 is an abundant number, since it is smaller than the sum of its proper divisors (147932222380).

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

101201112200 is a wasteful number, since it uses less digits than its factorization.

101201112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29765066 (or 29765057 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201112200 its reverse (2211102101), we get a palindrome (103412214301).

The spelling of 101201112200 in words is "one hundred one billion, two hundred one million, one hundred twelve thousand, two hundred".