12100101011001 has 12 divisors (see below), whose sum is σ = 17478619869412. Its totient is φ = 8066412690336.

The previous prime is 12100101010993. The next prime is 12100101011099. The reversal of 12100101011001 is 10011010100121.

It can be written as a sum of positive squares in 2 ways, for example, as 6452229935376 + 5647871075625 = 2540124^2 + 2376525^2 .

It is not a de Polignac number, because 12100101011001 - 2³ = 12100101010993 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 not an unprimeable number, because it can be changed into a prime (12100101019001) 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, 26537806 + ... + 26989911.

Almost surely, 2^{12100101011001} is an apocalyptic number.

It is an amenable number.

12100101011001 is a deficient number, since it is larger than the sum of its proper divisors (5378518858411).

12100101011001 is a wasteful number, since it uses less digits than its factorization.

12100101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53552840 (or 53552837 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12100101011001 its reverse (10011010100121), we get a palindrome (22111111111122).

The spelling of 12100101011001 in words is "twelve trillion, one hundred billion, one hundred one million, eleven thousand, one".