101102002221120 has 112 divisors (see below), whose sum is σ = 321701262949248. Its totient is φ = 26901539205120.

The previous prime is 101102002221109. The next prime is 101102002221127. The reversal of 101102002221120 is 21122200201101.

It is a super-2 number, since 2×101102002221120² (a number of 29 digits) contains 22 as substring.

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 101102002221120.

It is not an unprimeable number, because it can be changed into a prime (101102002221127) 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, 114785116 + ... + 115662555.

It is an arithmetic number, because the mean of its divisors is an integer number (2872332704904).

Almost surely, 2^{101102002221120} is an apocalyptic number.

101102002221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102002221120 is an abundant number, since it is smaller than the sum of its proper divisors (220599260728128).

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

101102002221120 is a wasteful number, since it uses less digits than its factorization.

101102002221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230448148 (or 230448138 counting only the distinct ones).

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

Adding to 101102002221120 its reverse (21122200201101), we get a palindrome (122224202422221).

The spelling of 101102002221120 in words is "one hundred one trillion, one hundred two billion, two million, two hundred twenty-one thousand, one hundred twenty".