102111121111110 has 128 divisors (see below), whose sum is σ = 251895181722624. Its totient is φ = 26472120261120.

The previous prime is 102111121111037. The next prime is 102111121111117. The reversal of 102111121111110 is 11111121111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102111121111110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111121111117) 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, 8892367429 + ... + 8892378911.

It is an arithmetic number, because the mean of its divisors is an integer number (1967931107208).

Almost surely, 2^{102111121111110} is an apocalyptic number.

102111121111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111121111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125947590861312).

102111121111110 is an abundant number, since it is smaller than the sum of its proper divisors (149784060611514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102111121111110 is a wasteful number, since it uses less digits than its factorization.

102111121111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17358.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 102111121111110 its reverse (11111121111201), we get a palindrome (113222242222311).

Subtracting from 102111121111110 its reverse (11111121111201), we obtain a palindrome (90999999999909).

The spelling of 102111121111110 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred ten".