10110901000 has 64 divisors (see below), whose sum is σ = 23869151280. Its totient is φ = 4008524800.

The previous prime is 10110900983. The next prime is 10110901043. The reversal of 10110901000 is 10901101.

It can be written as a sum of positive squares in 8 ways, for example, as 2558943396 + 7551957604 = 50586^2 + 86902^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68262 + ... + 157738.

Almost surely, 2^10110901000 is an apocalyptic number.

10110901000 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 10110901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934575640).

10110901000 is an abundant number, since it is smaller than the sum of its proper divisors (13758250280).

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

10110901000 is a wasteful number, since it uses less digits than its factorization.

10110901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89611 (or 89597 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 10110901000 in words is "ten billion, one hundred ten million, nine hundred one thousand".