10114112001 has 64 divisors (see below), whose sum is σ = 16194816000. Its totient is φ = 5609153088.

The previous prime is 10114111981. The next prime is 10114112009. The reversal of 10114112001 is 10021141101.

10114112001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10114112001 - 2¹⁰ = 10114110977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10114112009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7919575 + ... + 7920851.

It is an arithmetic number, because the mean of its divisors is an integer number (253044000).

Almost surely, 2^10114112001 is an apocalyptic number.

It is an amenable number.

10114112001 is a deficient number, since it is larger than the sum of its proper divisors (6080703999).

10114112001 is a wasteful number, since it uses less digits than its factorization.

10114112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10114112001 its reverse (10021141101), we get a palindrome (20135253102).

The spelling of 10114112001 in words is "ten billion, one hundred fourteen million, one hundred twelve thousand, one".