101200220211100 has 72 divisors (see below), whose sum is σ = 227185064069040. Its totient is φ = 39082843537920.

The previous prime is 101200220211031. The next prime is 101200220211133. The reversal of 101200220211100 is 1112022002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83547987 + ... + 84750613.

It is an arithmetic number, because the mean of its divisors is an integer number (3155348112070).

Almost surely, 2^{101200220211100} is an apocalyptic number.

101200220211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200220211100 is an abundant number, since it is smaller than the sum of its proper divisors (125984843857940).

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

101200220211100 is a wasteful number, since it uses less digits than its factorization.

101200220211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231687 (or 1231680 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101200220211100 its reverse (1112022002101), we get a palindrome (102312242213201).

The spelling of 101200220211100 in words is "one hundred one trillion, two hundred billion, two hundred twenty million, two hundred eleven thousand, one hundred".