121200000100101 has 72 divisors (see below), whose sum is σ = 191496505698680. Its totient is φ = 73430159281920.

The previous prime is 121200000100079. The next prime is 121200000100117. The reversal of 121200000100101 is 101001000002121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4473605708100 + 116726394392001 = 2115090^2 + 10803999^2 .

It is not a de Polignac number, because 121200000100101 - 2¹⁸ = 121199999837957 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200000100301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 418021155 + ... + 418310991.

Almost surely, 2^{121200000100101} is an apocalyptic number.

It is an amenable number.

121200000100101 is a deficient number, since it is larger than the sum of its proper divisors (70296505598579).

121200000100101 is a wasteful number, since it uses less digits than its factorization.

121200000100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290707 (or 290633 counting only the distinct ones).

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

Adding to 121200000100101 its reverse (101001000002121), we get a palindrome (222201000102222).

The spelling of 121200000100101 in words is "one hundred twenty-one trillion, two hundred billion, one hundred thousand, one hundred one".