101201120021220 has 48 divisors (see below), whose sum is σ = 288709610333760. Its totient is φ = 26477777312896.

The previous prime is 101201120021189. The next prime is 101201120021237. The reversal of 101201120021220 is 22120021102101.

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 101201120021220.

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 15 ways as a sum of consecutive naturals, for example, 15912122610 + ... + 15912128969.

It is an arithmetic number, because the mean of its divisors is an integer number (6014783548620).

Almost surely, 2^{101201120021220} is an apocalyptic number.

101201120021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201120021220 is an abundant number, since it is smaller than the sum of its proper divisors (187508490312540).

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

101201120021220 is a wasteful number, since it uses less digits than its factorization.

101201120021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31824251644 (or 31824251642 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101201120021220 its reverse (22120021102101), we get a palindrome (123321141123321).

The spelling of 101201120021220 in words is "one hundred one trillion, two hundred one billion, one hundred twenty million, twenty-one thousand, two hundred twenty".