1009100101000 has 128 divisors (see below), whose sum is σ = 2392550784000. Its totient is φ = 398302944000.

The previous prime is 1009100100961. The next prime is 1009100101013. The reversal of 1009100101000 is 1010019001.

1009100101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229808805 + ... + 229813195.

It is an arithmetic number, because the mean of its divisors is an integer number (18691803000).

Almost surely, 2^{1009100101000} is an apocalyptic number.

1009100101000 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 1009100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196275392000).

1009100101000 is an abundant number, since it is smaller than the sum of its proper divisors (1383450683000).

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

1009100101000 is a wasteful number, since it uses less digits than its factorization.

1009100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 7386 counting only the distinct ones).

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

The spelling of 1009100101000 in words is "one trillion, nine billion, one hundred million, one hundred one thousand".