102301122000 has 640 divisors, whose sum is σ = 419687424000. Its totient is φ = 21252672000.

The previous prime is 102301121981. The next prime is 102301122041. The reversal of 102301122000 is 221103201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 22635741 + ... + 22640259.

It is an arithmetic number, because the mean of its divisors is an integer number (655761600).

Almost surely, 2^102301122000 is an apocalyptic number.

102301122000 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 102301122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209843712000).

102301122000 is an abundant number, since it is smaller than the sum of its proper divisors (317386302000).

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

102301122000 is a wasteful number, since it uses less digits than its factorization.

102301122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102301122000 its reverse (221103201), we get a palindrome (102522225201).

The spelling of 102301122000 in words is "one hundred two billion, three hundred one million, one hundred twenty-two thousand".