101200112211210 has 128 divisors (see below), whose sum is σ = 257368129920000. Its totient is φ = 25379420774400.

The previous prime is 101200112211199. The next prime is 101200112211259. The reversal of 101200112211210 is 12112211002101.

It is a happy number.

It is a super-2 number, since 2×101200112211210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101200112211210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4282865676 + ... + 4282889304.

It is an arithmetic number, because the mean of its divisors is an integer number (2010688515000).

Almost surely, 2^{101200112211210} is an apocalyptic number.

101200112211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200112211210 is an abundant number, since it is smaller than the sum of its proper divisors (156168017708790).

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

101200112211210 is a wasteful number, since it uses less digits than its factorization.

101200112211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29856.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101200112211210 its reverse (12112211002101), we get a palindrome (113312323213311).

The spelling of 101200112211210 in words is "one hundred one trillion, two hundred billion, one hundred twelve million, two hundred eleven thousand, two hundred ten".