102120210001110 has 256 divisors, whose sum is σ = 289491148800000. Its totient is φ = 23041861524864.

The previous prime is 102120210001099. The next prime is 102120210001151. The reversal of 102120210001110 is 11100012021201.

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, 6144778381 + ... + 6144794999.

It is an arithmetic number, because the mean of its divisors is an integer number (1130824800000).

Almost surely, 2^{102120210001110} is an apocalyptic number.

102120210001110 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 102120210001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144745574400000).

102120210001110 is an abundant number, since it is smaller than the sum of its proper divisors (187370938798890).

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

102120210001110 is a wasteful number, since it uses less digits than its factorization.

102120210001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24288 (or 24274 counting only the distinct ones).

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

Adding to 102120210001110 its reverse (11100012021201), we get a palindrome (113220222022311).

The spelling of 102120210001110 in words is "one hundred two trillion, one hundred twenty billion, two hundred ten million, one thousand, one hundred ten".