1010892089100 has 72 divisors (see below), whose sum is σ = 3025704623760. Its totient is φ = 260275662080.

The previous prime is 1010892089063. The next prime is 1010892089111. The reversal of 1010892089100 is 19802980101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58088547 + ... + 58105946.

It is an arithmetic number, because the mean of its divisors is an integer number (42023675330).

Almost surely, 2^{1010892089100} is an apocalyptic number.

1010892089100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010892089100 is an abundant number, since it is smaller than the sum of its proper divisors (2014812534660).

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

1010892089100 is a wasteful number, since it uses less digits than its factorization.

1010892089100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116194539 (or 116194532 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The spelling of 1010892089100 in words is "one trillion, ten billion, eight hundred ninety-two million, eighty-nine thousand, one hundred".