100310122122320 has 160 divisors (see below), whose sum is σ = 269537826082176. Its totient is φ = 34311770931200.

The previous prime is 100310122122317. The next prime is 100310122122401. The reversal of 100310122122320 is 23221221013001.

It is a super-2 number, since 2×100310122122320² (a number of 29 digits) contains 22 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 = 100310122122292 and 100310122122301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25241312 + ... + 28943808.

Almost surely, 2^{100310122122320} is an apocalyptic number.

100310122122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100310122122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134768913041088).

100310122122320 is an abundant number, since it is smaller than the sum of its proper divisors (169227703959856).

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

100310122122320 is a wasteful number, since it uses less digits than its factorization.

100310122122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704349 (or 3704343 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100310122122320 its reverse (23221221013001), we get a palindrome (123531343135321).

The spelling of 100310122122320 in words is "one hundred trillion, three hundred ten billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".