10100331013120 has 44 divisors (see below), whose sum is σ = 24228958118364. Its totient is φ = 4040132403200.

The previous prime is 10100331013103. The next prime is 10100331013163. The reversal of 10100331013120 is 2131013300101.

It can be written as a sum of positive squares in 2 ways, for example, as 1827298354176 + 8273032658944 = 1351776^2 + 2876288^2 .

It is a super-2 number, since 2×10100331013120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10100331013094 and 10100331013103.

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 3 ways as a sum of consecutive naturals, for example, 986355331 + ... + 986365570.

Almost surely, 2^{10100331013120} is an apocalyptic number.

10100331013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100331013120 is an abundant number, since it is smaller than the sum of its proper divisors (14128627105244).

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

10100331013120 is an equidigital number, since it uses as much as digits as its factorization.

10100331013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972720926 (or 1972720908 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10100331013120 its reverse (2131013300101), we get a palindrome (12231344313221).

The spelling of 10100331013120 in words is "ten trillion, one hundred billion, three hundred thirty-one million, thirteen thousand, one hundred twenty".