1010091190100 has 18 divisors (see below), whose sum is σ = 2191897882734. Its totient is φ = 404036476000.

The previous prime is 1010091190091. The next prime is 1010091190159. The reversal of 1010091190100 is 10911900101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 194526866704 + 815564323396 = 441052^2 + 903086^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 5050455851 + ... + 5050456050.

Almost surely, 2^{1010091190100} is an apocalyptic number.

1010091190100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010091190100 is an abundant number, since it is smaller than the sum of its proper divisors (1181806692634).

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

1010091190100 is a wasteful number, since it uses less digits than its factorization.

1010091190100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100911915 (or 10100911908 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 1010091190100 in words is "one trillion, ten billion, ninety-one million, one hundred ninety thousand, one hundred".