100402120322240 has 224 divisors, whose sum is σ = 270080257773888. Its totient is φ = 35523103334400.

The previous prime is 100402120322239. The next prime is 100402120322269. The reversal of 100402120322240 is 42223021204001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12573500 + ... + 18944580.

Almost surely, 2^{100402120322240} is an apocalyptic number.

100402120322240 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 100402120322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135040128886944).

100402120322240 is an abundant number, since it is smaller than the sum of its proper divisors (169678137451648).

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

100402120322240 is an equidigital number, since it uses as much as digits as its factorization.

100402120322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6371168 (or 6371136 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 100402120322240 its reverse (42223021204001), we get a palindrome (142625141526241).

The spelling of 100402120322240 in words is "one hundred trillion, four hundred two billion, one hundred twenty million, three hundred twenty-two thousand, two hundred forty".