120100012112101 has 10 divisors (see below), whose sum is σ = 140108343995302. Its totient is φ = 102942867522600.

The previous prime is 120100012112099. The next prime is 120100012112117. The reversal of 120100012112101 is 101211210001021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 89294959059201 + 30805053052900 = 9449601^2 + 5550230^2 .

It is not a de Polignac number, because 120100012112101 - 2¹ = 120100012112099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100012112401) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25010412450 + ... + 25010417251.

Almost surely, 2^{120100012112101} is an apocalyptic number.

It is an amenable number.

120100012112101 is a deficient number, since it is larger than the sum of its proper divisors (20008331883201).

120100012112101 is an frugal number, since it uses more digits than its factorization.

120100012112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50020829729 (or 50020829708 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120100012112101 its reverse (101211210001021), we get a palindrome (221311222113122).

The spelling of 120100012112101 in words is "one hundred twenty trillion, one hundred billion, twelve million, one hundred twelve thousand, one hundred one".