808122120100 has 72 divisors (see below), whose sum is σ = 1871400222720. Its totient is φ = 301838584320.

The previous prime is 808122120077. The next prime is 808122120107. The reversal of 808122120100 is 1021221808.

It is a super-2 number, since 2×808122120100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (808122120107) by changing a digit.

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, 1655620 + ... + 2087419.

It is an arithmetic number, because the mean of its divisors is an integer number (25991669760).

Almost surely, 2^808122120100 is an apocalyptic number.

It is an amenable number.

808122120100 is an abundant number, since it is smaller than the sum of its proper divisors (1063278102620).

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

808122120100 is a wasteful number, since it uses less digits than its factorization.

808122120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743197 (or 3743190 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 808122120100 its reverse (1021221808), we get a palindrome (809143341908).

The spelling of 808122120100 in words is "eight hundred eight billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".