10102111112109 has 16 divisors (see below), whose sum is σ = 13891402402560. Its totient is φ = 6525303462720.

The previous prime is 10102111112087. The next prime is 10102111112143. The reversal of 10102111112109 is 90121111120101.

It is a happy number.

It is not a de Polignac number, because 10102111112109 - 2⁵ = 10102111112077 is a prime.

It is a super-2 number, since 2×10102111112109² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102111122109) 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, 190370982 + ... + 190424039.

It is an arithmetic number, because the mean of its divisors is an integer number (868212650160).

Almost surely, 2^{10102111112109} is an apocalyptic number.

It is an amenable number.

10102111112109 is a deficient number, since it is larger than the sum of its proper divisors (3789291290451).

10102111112109 is a wasteful number, since it uses less digits than its factorization.

10102111112109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380795300.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 10102111112109 in words is "ten trillion, one hundred two billion, one hundred eleven million, one hundred twelve thousand, one hundred nine".