101101200220120 has 128 divisors (see below), whose sum is σ = 234014131512000. Its totient is φ = 39294635950080.

The previous prime is 101101200220109. The next prime is 101101200220171. The reversal of 101101200220120 is 21022002101101.

It is a self number, because there is not a number n which added to its sum of digits gives 101101200220120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3485152176 + ... + 3485181184.

Almost surely, 2^{101101200220120} is an apocalyptic number.

101101200220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101200220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117007065756000).

101101200220120 is an abundant number, since it is smaller than the sum of its proper divisors (132912931291880).

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

101101200220120 is a wasteful number, since it uses less digits than its factorization.

101101200220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46373 (or 46369 counting only the distinct ones).

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

Adding to 101101200220120 its reverse (21022002101101), we get a palindrome (122123202321221).

The spelling of 101101200220120 in words is "one hundred one trillion, one hundred one billion, two hundred million, two hundred twenty thousand, one hundred twenty".