310010100030120 has 512 divisors, whose sum is σ = 1083976092057600. Its totient is φ = 69464545920000.

The previous prime is 310010100030049. The next prime is 310010100030157. The reversal of 310010100030120 is 21030001010013.

It is a super-2 number, since 2×310010100030120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 310010100030096 and 310010100030105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17784977805 + ... + 17784995235.

It is an arithmetic number, because the mean of its divisors is an integer number (2117140804800).

Almost surely, 2^{310010100030120} is an apocalyptic number.

310010100030120 is a gapful number since it is divisible by the number (30) 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 310010100030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541988046028800).

310010100030120 is an abundant number, since it is smaller than the sum of its proper divisors (773965992027480).

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

310010100030120 is a wasteful number, since it uses less digits than its factorization.

310010100030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19029 (or 19025 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 310010100030120 its reverse (21030001010013), we get a palindrome (331040101040133).

The spelling of 310010100030120 in words is "three hundred ten trillion, ten billion, one hundred million, thirty thousand, one hundred twenty".