10113144002120 has 32 divisors (see below), whose sum is σ = 22808622912120. Its totient is φ = 4035648906240.

The previous prime is 10113144002119. The next prime is 10113144002179. The reversal of 10113144002120 is 2120044131101.

It can be written as a sum of positive squares in 4 ways, for example, as 7533850185796 + 2579293816324 = 2744786^2 + 1606018^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10113144002092 and 10113144002101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 300254657 + ... + 300288336.

Almost surely, 2^{10113144002120} is an apocalyptic number.

10113144002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113144002120 is an abundant number, since it is smaller than the sum of its proper divisors (12695478910000).

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

10113144002120 is a wasteful number, since it uses less digits than its factorization.

10113144002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600543425 (or 600543421 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10113144002120 its reverse (2120044131101), we get a palindrome (12233188133221).

The spelling of 10113144002120 in words is "ten trillion, one hundred thirteen billion, one hundred forty-four million, two thousand, one hundred twenty".