102000122110080 has 768 divisors, whose sum is σ = 371490717312000. Its totient is φ = 25755262156800.

The previous prime is 102000122110079. The next prime is 102000122110123. The reversal of 102000122110080 is 80011221000201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1782535870 + ... + 1782593090.

It is an arithmetic number, because the mean of its divisors is an integer number (483711871500).

Almost surely, 2^{102000122110080} is an apocalyptic number.

102000122110080 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 102000122110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185745358656000).

102000122110080 is an abundant number, since it is smaller than the sum of its proper divisors (269490595201920).

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

102000122110080 is a wasteful number, since it uses less digits than its factorization.

102000122110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57493 (or 57478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102000122110080 its reverse (80011221000201), we get a palindrome (182011343110281).

The spelling of 102000122110080 in words is "one hundred two trillion, one hundred twenty-two million, one hundred ten thousand, eighty".