10120422131300 has 108 divisors (see below), whose sum is σ = 25123699701660. Its totient is φ = 3516961044480.

The previous prime is 10120422131233. The next prime is 10120422131359. The reversal of 10120422131300 is 313122402101.

It can be written as a sum of positive squares in 18 ways, for example, as 6565032821824 + 3555389309476 = 2562232^2 + 1885574^2 .

It is a super-3 number, since 3×10120422131300³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13093055 + ... + 13844454.

Almost surely, 2^{10120422131300} is an apocalyptic number.

10120422131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120422131300 is an abundant number, since it is smaller than the sum of its proper divisors (15003277570360).

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

10120422131300 is a wasteful number, since it uses less digits than its factorization.

10120422131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26937570 (or 26937546 counting only the distinct ones).

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

Adding to 10120422131300 its reverse (313122402101), we get a palindrome (10433544533401).

The spelling of 10120422131300 in words is "ten trillion, one hundred twenty billion, four hundred twenty-two million, one hundred thirty-one thousand, three hundred".