102012120100110 has 256 divisors, whose sum is σ = 286261175236608. Its totient is φ = 23013244108800.

The previous prime is 102012120100109. The next prime is 102012120100123. The reversal of 102012120100110 is 11001021210201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5183269470 + ... + 5183289150.

It is an arithmetic number, because the mean of its divisors is an integer number (1118207715768).

Almost surely, 2^{102012120100110} is an apocalyptic number.

102012120100110 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 102012120100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143130587618304).

102012120100110 is an abundant number, since it is smaller than the sum of its proper divisors (184249055136498).

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

102012120100110 is a wasteful number, since it uses less digits than its factorization.

102012120100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38219.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102012120100110 its reverse (11001021210201), we get a palindrome (113013141310311).

The spelling of 102012120100110 in words is "one hundred two trillion, twelve billion, one hundred twenty million, one hundred thousand, one hundred ten".