10009873194100 has 144 divisors (see below), whose sum is σ = 24077968425280. Its totient is φ = 3609997372800.

The previous prime is 10009873194089. The next prime is 10009873194109. The reversal of 10009873194100 is 149137890001.

It is a super-2 number, since 2×10009873194100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009873194109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8917315 + ... + 9976885.

Almost surely, 2^{10009873194100} is an apocalyptic number.

10009873194100 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 10009873194100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038984212640).

10009873194100 is an abundant number, since it is smaller than the sum of its proper divisors (14068095231180).

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

10009873194100 is a wasteful number, since it uses less digits than its factorization.

10009873194100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059667 (or 1059634 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The spelling of 10009873194100 in words is "ten trillion, nine billion, eight hundred seventy-three million, one hundred ninety-four thousand, one hundred".