7809901100100 has 432 divisors, whose sum is σ = 27704575918656. Its totient is φ = 1892600640000.

The previous prime is 7809901099999. The next prime is 7809901100161. The reversal of 7809901100100 is 10011099087.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 1239466950 + ... + 1239473250.

Almost surely, 2^{7809901100100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7809901100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852287959328).

7809901100100 is an abundant number, since it is smaller than the sum of its proper divisors (19894674818556).

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

7809901100100 is a wasteful number, since it uses less digits than its factorization.

7809901100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10978 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

Adding to 7809901100100 its reverse (10011099087), we get a palindrome (7819912199187).

The spelling of 7809901100100 in words is "seven trillion, eight hundred nine billion, nine hundred one million, one hundred thousand, one hundred".