102112121011110 has 128 divisors (see below), whose sum is σ = 281883786061824. Its totient is φ = 23189533286400.

The previous prime is 102112121011097. The next prime is 102112121011157. The reversal of 102112121011110 is 11110121211201.

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 102112121011110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474693439 + ... + 474908501.

It is an arithmetic number, because the mean of its divisors is an integer number (2202217078608).

Almost surely, 2^{102112121011110} is an apocalyptic number.

102112121011110 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 102112121011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140941893030912).

102112121011110 is an abundant number, since it is smaller than the sum of its proper divisors (179771665050714).

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

102112121011110 is a wasteful number, since it uses less digits than its factorization.

102112121011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229638.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102112121011110 its reverse (11110121211201), we get a palindrome (113222242222311).

The spelling of 102112121011110 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-one million, eleven thousand, one hundred ten".