100510452122000 has 320 divisors, whose sum is σ = 255782293760448. Its totient is φ = 38149816320000.

The previous prime is 100510452121997. The next prime is 100510452122057. The reversal of 100510452122000 is 221254015001.

It can be written as a sum of positive squares in 32 ways, for example, as 99678978052096 + 831474069904 = 9983936^2 + 911852^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13595350304 + ... + 13595357696.

Almost surely, 2^{100510452122000} is an apocalyptic number.

100510452122000 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 100510452122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127891146880224).

100510452122000 is an abundant number, since it is smaller than the sum of its proper divisors (155271841638448).

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

100510452122000 is a wasteful number, since it uses less digits than its factorization.

100510452122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11975 (or 11959 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 100510452122000 in words is "one hundred trillion, five hundred ten billion, four hundred fifty-two million, one hundred twenty-two thousand".