101110112001 has 16 divisors (see below), whose sum is σ = 149798656320. Its totient is φ = 67404087360.

The previous prime is 101110111969. The next prime is 101110112003. The reversal of 101110112001 is 100211011101.

It is not a de Polignac number, because 101110112001 - 2⁵ = 101110111969 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 (101110112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823081 + ... + 937913.

It is an arithmetic number, because the mean of its divisors is an integer number (9362416020).

Almost surely, 2^101110112001 is an apocalyptic number.

It is an amenable number.

101110112001 is a deficient number, since it is larger than the sum of its proper divisors (48688544319).

101110112001 is a wasteful number, since it uses less digits than its factorization.

101110112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147453 (or 147447 counting only the distinct ones).

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

Adding to 101110112001 its reverse (100211011101), we get a palindrome (201321123102).

The spelling of 101110112001 in words is "one hundred one billion, one hundred ten million, one hundred twelve thousand, one".