120012100000101 has 12 divisors (see below), whose sum is σ = 178035968168812. Its totient is φ = 77845686486336.

The previous prime is 120012100000081. The next prime is 120012100000229. The reversal of 120012100000101 is 101000001210021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76605731100900 + 43406368899201 = 8752470^2 + 6588351^2 .

It is not a de Polignac number, because 120012100000101 - 2³¹ = 120009952516453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012100040101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180198348016 + ... + 180198348681.

Almost surely, 2^{120012100000101} is an apocalyptic number.

It is an amenable number.

120012100000101 is a deficient number, since it is larger than the sum of its proper divisors (58023868168711).

120012100000101 is a wasteful number, since it uses less digits than its factorization.

120012100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360396696740 (or 360396696737 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120012100000101 its reverse (101000001210021), we get a palindrome (221012101210122).

The spelling of 120012100000101 in words is "one hundred twenty trillion, twelve billion, one hundred million, one hundred one", and thus it is an aban number.