120020100113 has 8 divisors (see below), whose sum is σ = 127089042408. Its totient is φ = 112952150784.

The previous prime is 120020100103. The next prime is 120020100143. The reversal of 120020100113 is 311001020021.

It can be written as a sum of positive squares in 4 ways, for example, as 41086073809 + 78934026304 = 202697^2 + 280952^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120020100113 - 2¹⁸ = 120019837969 is a prime.

It is a super-2 number, since 2×120020100113² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120020100094 and 120020100103.

It is not an unprimeable number, because it can be changed into a prime (120020100103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8195 + ... + 490007.

It is an arithmetic number, because the mean of its divisors is an integer number (15886130301).

Almost surely, 2^120020100113 is an apocalyptic number.

It is an amenable number.

120020100113 is a deficient number, since it is larger than the sum of its proper divisors (7068942295).

120020100113 is a wasteful number, since it uses less digits than its factorization.

120020100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496483.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 120020100113 its reverse (311001020021), we get a palindrome (431021120134).

The spelling of 120020100113 in words is "one hundred twenty billion, twenty million, one hundred thousand, one hundred thirteen".