100222102122320 has 80 divisors (see below), whose sum is σ = 236542901952000. Its totient is φ = 39484610141184.

The previous prime is 100222102122313. The next prime is 100222102122371. The reversal of 100222102122320 is 23221201222001.

100222102122320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×100222102122320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100222102122292 and 100222102122301.

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, 16801340 + ... + 21971099.

It is an arithmetic number, because the mean of its divisors is an integer number (2956786274400).

Almost surely, 2^{100222102122320} is an apocalyptic number.

100222102122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222102122320 is an abundant number, since it is smaller than the sum of its proper divisors (136320799829680).

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

100222102122320 is a wasteful number, since it uses less digits than its factorization.

100222102122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38772940 (or 38772934 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100222102122320 its reverse (23221201222001), we get a palindrome (123443303344321).

The spelling of 100222102122320 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, three hundred twenty".