101202220220112 has 120 divisors (see below), whose sum is σ = 319627701937440. Its totient is φ = 29609844983040.

The previous prime is 101202220220099. The next prime is 101202220220119. The reversal of 101202220220112 is 211022022202101.

It is a happy number.

101202220220112 is a `hidden beast` number, since 10 + 1 + 202 + 220 + 220 + 1 + 12 = 666.

It is a super-2 number, since 2×101202220220112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202220220119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101510798 + ... + 1101602669.

It is an arithmetic number, because the mean of its divisors is an integer number (2663564182812).

Almost surely, 2^{101202220220112} is an apocalyptic number.

101202220220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202220220112 is an abundant number, since it is smaller than the sum of its proper divisors (218425481717328).

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

101202220220112 is a wasteful number, since it uses less digits than its factorization.

101202220220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203113521 (or 2203113512 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101202220220112 its reverse (211022022202101), we get a palindrome (312224242422213).

The spelling of 101202220220112 in words is "one hundred one trillion, two hundred two billion, two hundred twenty million, two hundred twenty thousand, one hundred twelve".