101110102120001 has 6 divisors (see below), whose sum is σ = 109486086911190. Its totient is φ = 93332401956768.

The previous prime is 101110102119967. The next prime is 101110102120007. The reversal of 101110102120001 is 100021201011101.

It can be written as a sum of positive squares in 3 ways, for example, as 9795641780401 + 91314460339600 = 3129799^2 + 9555860^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101110102120001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110102120007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 299142313796 + ... + 299142314133.

It is an arithmetic number, because the mean of its divisors is an integer number (18247681151865).

Almost surely, 2^{101110102120001} is an apocalyptic number.

It is an amenable number.

101110102120001 is a deficient number, since it is larger than the sum of its proper divisors (8375984791189).

101110102120001 is an equidigital number, since it uses as much as digits as its factorization.

101110102120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598284627955 (or 598284627942 counting only the distinct ones).

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

Adding to 101110102120001 its reverse (100021201011101), we get a palindrome (201131303131102).

The spelling of 101110102120001 in words is "one hundred one trillion, one hundred ten billion, one hundred two million, one hundred twenty thousand, one".