101100110000121 has 96 divisors (see below), whose sum is σ = 167515745667200. Its totient is φ = 60075232778880.

The previous prime is 101100110000089. The next prime is 101100110000129. The reversal of 101100110000121 is 121000011001101.

It is not a de Polignac number, because 101100110000121 - 2⁵ = 101100110000089 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 a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101100110000129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13500351 + ... + 19607643.

Almost surely, 2^{101100110000121} is an apocalyptic number.

It is an amenable number.

101100110000121 is a deficient number, since it is larger than the sum of its proper divisors (66415635667079).

101100110000121 is a wasteful number, since it uses less digits than its factorization.

101100110000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107428 (or 6107399 counting only the distinct ones).

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

Adding to 101100110000121 its reverse (121000011001101), we get a palindrome (222100121001222).

The spelling of 101100110000121 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred twenty-one", and thus it is an aban number.