102322104122040 has 384 divisors, whose sum is σ = 353624029067520. Its totient is φ = 23486568192000.

The previous prime is 102322104122023. The next prime is 102322104122081. The reversal of 102322104122040 is 40221401223201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102322104122040.

It is a congruent number.

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, 858152907 + ... + 858272133.

It is an arithmetic number, because the mean of its divisors is an integer number (920895909030).

Almost surely, 2^{102322104122040} is an apocalyptic number.

102322104122040 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 102322104122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176812014533760).

102322104122040 is an abundant number, since it is smaller than the sum of its proper divisors (251301924945480).

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

102322104122040 is a wasteful number, since it uses less digits than its factorization.

102322104122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121091 (or 121068 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102322104122040 its reverse (40221401223201), we get a palindrome (142543505345241).

The spelling of 102322104122040 in words is "one hundred two trillion, three hundred twenty-two billion, one hundred four million, one hundred twenty-two thousand, forty".