10112009101 has 16 divisors (see below), whose sum is σ = 10650211200. Its totient is φ = 9586987200.

The previous prime is 10112009099. The next prime is 10112009119. The reversal of 10112009101 is 10190021101.

It is a cyclic number.

It is not a de Polignac number, because 10112009101 - 2¹ = 10112009099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112001101) 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, 1111710 + ... + 1120768.

It is an arithmetic number, because the mean of its divisors is an integer number (665638200).

Almost surely, 2^10112009101 is an apocalyptic number.

It is an amenable number.

10112009101 is a deficient number, since it is larger than the sum of its proper divisors (538202099).

10112009101 is an equidigital number, since it uses as much as digits as its factorization.

10112009101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9780.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 10112009101 in words is "ten billion, one hundred twelve million, nine thousand, one hundred one".