101002022200120 has 64 divisors (see below), whose sum is σ = 227701965870720. Its totient is φ = 40321306712064.

The previous prime is 101002022200117. The next prime is 101002022200127. The reversal of 101002022200120 is 21002220200101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101002022200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002022200127) 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, 83773489 + ... + 84970591.

It is an arithmetic number, because the mean of its divisors is an integer number (3557843216730).

Almost surely, 2^{101002022200120} is an apocalyptic number.

101002022200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002022200120 is an abundant number, since it is smaller than the sum of its proper divisors (126699943670600).

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

101002022200120 is a wasteful number, since it uses less digits than its factorization.

101002022200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201264 (or 1201260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101002022200120 its reverse (21002220200101), we get a palindrome (122004242400221).

The spelling of 101002022200120 in words is "one hundred one trillion, two billion, twenty-two million, two hundred thousand, one hundred twenty".