10090910101000 has 64 divisors (see below), whose sum is σ = 23846519277360. Its totient is φ = 3996400000000.

The previous prime is 10090910100941. The next prime is 10090910101037. The reversal of 10090910101000 is 10101909001.

It can be written as a sum of positive squares in 8 ways, for example, as 2226463873956 + 7864446227044 = 1492134^2 + 2804362^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49854001 + ... + 50056000.

Almost surely, 2^{10090910101000} is an apocalyptic number.

10090910101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10090910101000 is an abundant number, since it is smaller than the sum of its proper divisors (13755609176360).

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

10090910101000 is a wasteful number, since it uses less digits than its factorization.

10090910101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99910123 (or 99910109 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 10090910101000 in words is "ten trillion, ninety billion, nine hundred ten million, one hundred one thousand".