102114112011 has 16 divisors (see below), whose sum is σ = 136453680000. Its totient is φ = 67925455808.

The previous prime is 102114111919. The next prime is 102114112021. The reversal of 102114112011 is 110211411201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102114112011 - 2¹¹ = 102114109963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102114112021) 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, 2946295 + ... + 2980751.

It is an arithmetic number, because the mean of its divisors is an integer number (8528355000).

Almost surely, 2^102114112011 is an apocalyptic number.

102114112011 is a deficient number, since it is larger than the sum of its proper divisors (34339567989).

102114112011 is a wasteful number, since it uses less digits than its factorization.

102114112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36618.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102114112011 its reverse (110211411201), we get a palindrome (212325523212).

The spelling of 102114112011 in words is "one hundred two billion, one hundred fourteen million, one hundred twelve thousand, eleven".