101200211111220 has 48 divisors (see below), whose sum is σ = 305157559660800. Its totient is φ = 24910821196416.

The previous prime is 101200211111173. The next prime is 101200211111261. The reversal of 101200211111220 is 22111112002101.

It is a happy number.

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 101200211111220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64871929420 + ... + 64871930979.

It is an arithmetic number, because the mean of its divisors is an integer number (6357449159600).

Almost surely, 2^{101200211111220} is an apocalyptic number.

101200211111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200211111220 is an abundant number, since it is smaller than the sum of its proper divisors (203957348549580).

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

101200211111220 is a wasteful number, since it uses less digits than its factorization.

101200211111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129743860424 (or 129743860422 counting only the distinct ones).

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

Adding to 101200211111220 its reverse (22111112002101), we get a palindrome (123311323113321).

The spelling of 101200211111220 in words is "one hundred one trillion, two hundred billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".