101000220211120 has 20 divisors (see below), whose sum is σ = 234825511991040. Its totient is φ = 40400088084416.

The previous prime is 101000220211073. The next prime is 101000220211147. The reversal of 101000220211120 is 21112022000101.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 101000220211120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631251376240 + ... + 631251376399.

It is an arithmetic number, because the mean of its divisors is an integer number (11741275599552).

Almost surely, 2^{101000220211120} is an apocalyptic number.

101000220211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000220211120 is an abundant number, since it is smaller than the sum of its proper divisors (133825291779920).

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

101000220211120 is a wasteful number, since it uses less digits than its factorization.

101000220211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262502752652 (or 1262502752646 counting only the distinct ones).

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

Adding to 101000220211120 its reverse (21112022000101), we get a palindrome (122112242211221).

The spelling of 101000220211120 in words is "one hundred one trillion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".