122102001000 has 384 divisors, whose sum is σ = 473037327360. Its totient is φ = 27827712000.

The previous prime is 122102000941. The next prime is 122102001011. The reversal of 122102001000 is 100201221.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23118360 + ... + 23123640.

It is an arithmetic number, because the mean of its divisors is an integer number (1231868040).

Almost surely, 2^122102001000 is an apocalyptic number.

122102001000 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 122102001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236518663680).

122102001000 is an abundant number, since it is smaller than the sum of its proper divisors (350935326360).

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

122102001000 is a wasteful number, since it uses less digits than its factorization.

122102001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122102001000 its reverse (100201221), we get a palindrome (122202202221).

The spelling of 122102001000 in words is "one hundred twenty-two billion, one hundred two million, one thousand".