120120012100101 has 64 divisors (see below), whose sum is σ = 175155041617920. Its totient is φ = 72779836504320.

The previous prime is 120120012100037. The next prime is 120120012100103. The reversal of 120120012100101 is 101001210021021.

It is not a de Polignac number, because 120120012100101 - 2⁶ = 120120012100037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120012100103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2868242680 + ... + 2868284558.

It is an arithmetic number, because the mean of its divisors is an integer number (2736797525280).

Almost surely, 2^{120120012100101} is an apocalyptic number.

It is an amenable number.

120120012100101 is a deficient number, since it is larger than the sum of its proper divisors (55035029517819).

120120012100101 is a wasteful number, since it uses less digits than its factorization.

120120012100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44986.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120120012100101 its reverse (101001210021021), we get a palindrome (221121222121122).

The spelling of 120120012100101 in words is "one hundred twenty trillion, one hundred twenty billion, twelve million, one hundred thousand, one hundred one".