101110102001 has 4 divisors (see below), whose sum is σ = 101126648292. Its totient is φ = 101093555712.

The previous prime is 101110101971. The next prime is 101110102087. The reversal of 101110102001 is 100201011101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46138610401 + 54971491600 = 214799^2 + 234460^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110102001 - 2²⁶ = 101042993137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101110102001.

It is not an unprimeable number, because it can be changed into a prime (101110102901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8263976 + ... + 8276201.

It is an arithmetic number, because the mean of its divisors is an integer number (25281662073).

Almost surely, 2^101110102001 is an apocalyptic number.

It is an amenable number.

101110102001 is a deficient number, since it is larger than the sum of its proper divisors (16546291).

101110102001 is an equidigital number, since it uses as much as digits as its factorization.

101110102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16546290.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101110102001 its reverse (100201011101), we get a palindrome (201311113102).

The spelling of 101110102001 in words is "one hundred one billion, one hundred ten million, one hundred two thousand, one".