102122322302000 has 640 divisors, whose sum is σ = 334828045633536. Its totient is φ = 29090880000000.

The previous prime is 102122322301949. The next prime is 102122322302017. The reversal of 102122322302000 is 203223221201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 201949475 + ... + 202454525.

Almost surely, 2^{102122322302000} is an apocalyptic number.

102122322302000 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 102122322302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167414022816768).

102122322302000 is an abundant number, since it is smaller than the sum of its proper divisors (232705723331536).

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

102122322302000 is a wasteful number, since it uses less digits than its factorization.

102122322302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505206 (or 505190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102122322302000 its reverse (203223221201), we get a palindrome (102325545523201).

The spelling of 102122322302000 in words is "one hundred two trillion, one hundred twenty-two billion, three hundred twenty-two million, three hundred two thousand".