10310123220120 has 128 divisors (see below), whose sum is σ = 34470906624000. Its totient is φ = 2741059854720.

The previous prime is 10310123220113. The next prime is 10310123220127. The reversal of 10310123220120 is 2102232101301.

10310123220120 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 232 + 2 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (10310123220113) and next prime (10310123220127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10310123220093 and 10310123220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310123220127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14063080 + ... + 14778039.

It is an arithmetic number, because the mean of its divisors is an integer number (269303958000).

Almost surely, 2^{10310123220120} is an apocalyptic number.

10310123220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10310123220120 is an abundant number, since it is smaller than the sum of its proper divisors (24160783403880).

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

10310123220120 is a wasteful number, since it uses less digits than its factorization.

10310123220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28841470 (or 28841460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10310123220120 its reverse (2102232101301), we get a palindrome (12412355321421).

The spelling of 10310123220120 in words is "ten trillion, three hundred ten billion, one hundred twenty-three million, two hundred twenty thousand, one hundred twenty".