100121121222320 has 160 divisors (see below), whose sum is σ = 268888694575680. Its totient is φ = 34265126174720.

The previous prime is 100121121222319. The next prime is 100121121222329. The reversal of 100121121222320 is 23222121121001.

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 = 100121121222292 and 100121121222301.

It is not an unprimeable number, because it can be changed into a prime (100121121222329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776254796 + ... + 776383764.

It is an arithmetic number, because the mean of its divisors is an integer number (1680554341098).

Almost surely, 2^{100121121222320} is an apocalyptic number.

100121121222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121121222320 is an abundant number, since it is smaller than the sum of its proper divisors (168767573353360).

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

100121121222320 is a wasteful number, since it uses less digits than its factorization.

100121121222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180903 (or 180897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100121121222320 its reverse (23222121121001), we get a palindrome (123343242343321).

The spelling of 100121121222320 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, three hundred twenty".