101022221120 has 112 divisors (see below), whose sum is σ = 247616593920. Its totient is φ = 39236972544.

The previous prime is 101022221119. The next prime is 101022221161. The reversal of 101022221120 is 21122220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022221095 and 101022221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1883636 + ... + 1936524.

Almost surely, 2^101022221120 is an apocalyptic number.

101022221120 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 101022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123808296960).

101022221120 is an abundant number, since it is smaller than the sum of its proper divisors (146594372800).

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

101022221120 is a wasteful number, since it uses less digits than its factorization.

101022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53080 (or 53070 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022221120 its reverse (21122220101), we get a palindrome (122144441221).

The spelling of 101022221120 in words is "one hundred one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".