101112110001 has 24 divisors (see below), whose sum is σ = 174252164640. Its totient is φ = 57778347816.

The previous prime is 101112109963. The next prime is 101112110027. The reversal of 101112110001 is 100011211101.

It is not a de Polignac number, because 101112110001 - 2⁹ = 101112109489 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 (101112110051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38211871 + ... + 38214516.

It is an arithmetic number, because the mean of its divisors is an integer number (7260506860).

Almost surely, 2^101112110001 is an apocalyptic number.

It is an amenable number.

101112110001 is a deficient number, since it is larger than the sum of its proper divisors (73140054639).

101112110001 is an equidigital number, since it uses as much as digits as its factorization.

101112110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76426410 (or 76426397 counting only the distinct ones).

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

Adding to 101112110001 its reverse (100011211101), we get a palindrome (201123321102).

The spelling of 101112110001 in words is "one hundred one billion, one hundred twelve million, one hundred ten thousand, one".