101200100101121 has 12 divisors (see below), whose sum is σ = 119380629729600. Its totient is φ = 85521211350120.

The previous prime is 101200100101091. The next prime is 101200100101181. The reversal of 101200100101121 is 121101001002101.

It is a de Polignac number, because none of the positive numbers 2^k-101200100101121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200100101181) 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, 14544420221 + ... + 14544427178.

It is an arithmetic number, because the mean of its divisors is an integer number (9948385810800).

Almost surely, 2^{101200100101121} is an apocalyptic number.

It is an amenable number.

101200100101121 is a deficient number, since it is larger than the sum of its proper divisors (18180529628479).

101200100101121 is an equidigital number, since it uses as much as digits as its factorization.

101200100101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29088847484 (or 29088847477 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101200100101121 its reverse (121101001002101), we get a palindrome (222301101103222).

The spelling of 101200100101121 in words is "one hundred one trillion, two hundred billion, one hundred million, one hundred one thousand, one hundred twenty-one".