101222122102000 has 80 divisors (see below), whose sum is σ = 244861102886400. Its totient is φ = 40471311763200.

The previous prime is 101222122101973. The next prime is 101222122102019. The reversal of 101222122102000 is 201221222101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6341520 + ... + 15577519.

It is an arithmetic number, because the mean of its divisors is an integer number (3060763786080).

Almost surely, 2^{101222122102000} is an apocalyptic number.

101222122102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222122102000 is an abundant number, since it is smaller than the sum of its proper divisors (143638980784400).

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

101222122102000 is a wasteful number, since it uses less digits than its factorization.

101222122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21921371 (or 21921355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222122102000 its reverse (201221222101), we get a palindrome (101423343324101).

The spelling of 101222122102000 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand".