101121222120 has 64 divisors (see below), whose sum is σ = 303709893120. Its totient is φ = 26934883584.

The previous prime is 101121222113. The next prime is 101121222127. The reversal of 101121222120 is 21222121101.

It is an interprime number because it is at equal distance from previous prime (101121222113) and next prime (101121222127).

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 101121222120.

It is not an unprimeable number, because it can be changed into a prime (101121222127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375192 + ... + 585671.

It is an arithmetic number, because the mean of its divisors is an integer number (4745467080).

Almost surely, 2^101121222120 is an apocalyptic number.

101121222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121222120 is an abundant number, since it is smaller than the sum of its proper divisors (202588671000).

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

101121222120 is a wasteful number, since it uses less digits than its factorization.

101121222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961754 (or 961750 counting only the distinct ones).

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

Adding to 101121222120 its reverse (21222121101), we get a palindrome (122343343221).

The spelling of 101121222120 in words is "one hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".