101009101000 has 64 divisors (see below), whose sum is σ = 238530006000. Its totient is φ = 40032921600.

The previous prime is 101009100967. The next prime is 101009101003. The reversal of 101009101000 is 101900101.

It can be written as a sum of positive squares in 8 ways, for example, as 282845124 + 100726255876 = 16818^2 + 317374^2 .

It is not an unprimeable number, because it can be changed into a prime (101009101003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354345 + ... + 572344.

Almost surely, 2^101009101000 is an apocalyptic number.

101009101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101009101000 is an abundant number, since it is smaller than the sum of its proper divisors (137520905000).

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

101009101000 is a wasteful number, since it uses less digits than its factorization.

101009101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926819 (or 926805 counting only the distinct ones).

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

The spelling of 101009101000 in words is "one hundred one billion, nine million, one hundred one thousand".