10090910100000 has 288 divisors, whose sum is σ = 34003546258752. Its totient is φ = 2618179200000.

The previous prime is 10090910099987. The next prime is 10090910100049. The reversal of 10090910100000 is 101909001.

It is a self number, because there is not a number n which added to its sum of digits gives 10090910100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10645455 + ... + 11554545.

It is an arithmetic number, because the mean of its divisors is an integer number (118067868954).

Almost surely, 2^{10090910100000} is an apocalyptic number.

10090910100000 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 10090910100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001773129376).

10090910100000 is an abundant number, since it is smaller than the sum of its proper divisors (23912636158752).

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

10090910100000 is an frugal number, since it uses more digits than its factorization.

10090910100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909166 (or 909138 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 10090910100000 in words is "ten trillion, ninety billion, nine hundred ten million, one hundred thousand".