102012100111110 has 1024 divisors, whose sum is σ = 312352463388672. Its totient is φ = 20832215040000.

The previous prime is 102012100111099. The next prime is 102012100111171. The reversal of 102012100111110 is 11111001210201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 47205968430 + ... + 47205970590.

It is an arithmetic number, because the mean of its divisors is an integer number (305031702528).

Almost surely, 2^{102012100111110} is an apocalyptic number.

102012100111110 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 102012100111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156176231694336).

102012100111110 is an abundant number, since it is smaller than the sum of its proper divisors (210340363277562).

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

102012100111110 is a wasteful number, since it uses less digits than its factorization.

102012100111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102012100111110 its reverse (11111001210201), we get a palindrome (113123101321311).

The spelling of 102012100111110 in words is "one hundred two trillion, twelve billion, one hundred million, one hundred eleven thousand, one hundred ten".