102120100110 has 128 divisors (see below), whose sum is σ = 312853708800. Its totient is φ = 23219447040.

The previous prime is 102120100067. The next prime is 102120100151. The reversal of 102120100110 is 11001021201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102120100092 and 102120100101.

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, 219546 + ... + 502434.

It is an arithmetic number, because the mean of its divisors is an integer number (2444169600).

Almost surely, 2^102120100110 is an apocalyptic number.

102120100110 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 102120100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156426854400).

102120100110 is an abundant number, since it is smaller than the sum of its proper divisors (210733608690).

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

102120100110 is a wasteful number, since it uses less digits than its factorization.

102120100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283103 (or 283097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102120100110 its reverse (11001021201), we get a palindrome (113121121311).

The spelling of 102120100110 in words is "one hundred two billion, one hundred twenty million, one hundred thousand, one hundred ten".