102110122000 has 160 divisors (see below), whose sum is σ = 253349141760. Its totient is φ = 39782937600.

The previous prime is 102110121959. The next prime is 102110122001. The reversal of 102110122000 is 221011201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102110122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35172549 + ... + 35175451.

It is an arithmetic number, because the mean of its divisors is an integer number (1583432136).

Almost surely, 2^102110122000 is an apocalyptic number.

102110122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126674570880).

102110122000 is an abundant number, since it is smaller than the sum of its proper divisors (151239019760).

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

102110122000 is a wasteful number, since it uses less digits than its factorization.

102110122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102110122000 its reverse (221011201), we get a palindrome (102331133201).

The spelling of 102110122000 in words is "one hundred two billion, one hundred ten million, one hundred twenty-two thousand".