10120011221310 has 32 divisors (see below), whose sum is σ = 24852864769920. Its totient is φ = 2635909899168.

The previous prime is 10120011221273. The next prime is 10120011221323. The reversal of 10120011221310 is 1312211002101.

It is a super-2 number, since 2×10120011221310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120011221310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3922483680 + ... + 3922486259.

It is an arithmetic number, because the mean of its divisors is an integer number (776652024060).

Almost surely, 2^{10120011221310} is an apocalyptic number.

10120011221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120011221310 is an abundant number, since it is smaller than the sum of its proper divisors (14732853548610).

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

10120011221310 is a wasteful number, since it uses less digits than its factorization.

10120011221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844969992.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10120011221310 its reverse (1312211002101), we get a palindrome (11432222223411).

The spelling of 10120011221310 in words is "ten trillion, one hundred twenty billion, eleven million, two hundred twenty-one thousand, three hundred ten".