101112102001 has 4 divisors (see below), whose sum is σ = 106433791600. Its totient is φ = 95790412404.

The previous prime is 101112101971. The next prime is 101112102059. The reversal of 101112102001 is 100201211101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101112102001 - 2⁵ = 101112101969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112102601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2660844771 + ... + 2660844808.

It is an arithmetic number, because the mean of its divisors is an integer number (26608447900).

Almost surely, 2^101112102001 is an apocalyptic number.

It is an amenable number.

101112102001 is a deficient number, since it is larger than the sum of its proper divisors (5321689599).

101112102001 is an equidigital number, since it uses as much as digits as its factorization.

101112102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321689598.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101112102001 its reverse (100201211101), we get a palindrome (201313313102).

It can be divided in two parts, 10111 and 2102001, that added together give a palindrome (2112112).

The spelling of 101112102001 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand, one".