101112211212200 has 48 divisors (see below), whose sum is σ = 235841794400160. Its totient is φ = 40314836600000.

The previous prime is 101112211212149. The next prime is 101112211212203. The reversal of 101112211212200 is 2212112211101.

It is not an unprimeable number, because it can be changed into a prime (101112211212203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 812736926 + ... + 812861325.

It is an arithmetic number, because the mean of its divisors is an integer number (4913370716670).

Almost surely, 2^{101112211212200} is an apocalyptic number.

101112211212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112211212200 is an abundant number, since it is smaller than the sum of its proper divisors (134729583187960).

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

101112211212200 is a wasteful number, since it uses less digits than its factorization.

101112211212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625598578 (or 1625598569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101112211212200 its reverse (2212112211101), we get a palindrome (103324323423301).

The spelling of 101112211212200 in words is "one hundred one trillion, one hundred twelve billion, two hundred eleven million, two hundred twelve thousand, two hundred".