10091012000 has 48 divisors (see below), whose sum is σ = 24793626312. Its totient is φ = 4036403200.

The previous prime is 10091011969. The next prime is 10091012011. The reversal of 10091012000 is 21019001.

10091012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1545118864 + 8545893136 = 39308^2 + 92444^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257377 + ... + 1265376.

Almost surely, 2^10091012000 is an apocalyptic number.

10091012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10091012000 is an abundant number, since it is smaller than the sum of its proper divisors (14702614312).

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

10091012000 is an equidigital number, since it uses as much as digits as its factorization.

10091012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522778 (or 2522760 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

It can be divided in two parts, 1009101 and 2000, that added together give a palindrome (1011101).

The spelling of 10091012000 in words is "ten billion, ninety-one million, twelve thousand".