101110101200001 has 40 divisors (see below), whose sum is σ = 152743526115840. Its totient is φ = 66646989718848.

The previous prime is 101110101199993. The next prime is 101110101200027. The reversal of 101110101200001 is 100002101011101.

It is not a de Polignac number, because 101110101200001 - 2³ = 101110101199993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101110101200051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215913556 + ... + 216381338.

It is an arithmetic number, because the mean of its divisors is an integer number (3818588152896).

Almost surely, 2^{101110101200001} is an apocalyptic number.

It is an amenable number.

101110101200001 is a deficient number, since it is larger than the sum of its proper divisors (51633424915839).

101110101200001 is an equidigital number, since it uses as much as digits as its factorization.

101110101200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497867 (or 497858 counting only the distinct ones).

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

Adding to 101110101200001 its reverse (100002101011101), we get a palindrome (201112202211102).

The spelling of 101110101200001 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, two hundred thousand, one".