100022232100 has 72 divisors (see below), whose sum is σ = 258840183168. Its totient is φ = 32802316800.

The previous prime is 100022232091. The next prime is 100022232109. The reversal of 100022232100 is 1232220001.

It is an interprime number because it is at equal distance from previous prime (100022232091) and next prime (100022232109).

It is a super-3 number, since 3×100022232100³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100022232109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3090181 + ... + 3122380.

It is an arithmetic number, because the mean of its divisors is an integer number (3595002544).

Almost surely, 2^100022232100 is an apocalyptic number.

100022232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022232100 is an abundant number, since it is smaller than the sum of its proper divisors (158817951068).

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

100022232100 is a wasteful number, since it uses less digits than its factorization.

100022232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212605 (or 6212598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100022232100 its reverse (1232220001), we get a palindrome (101254452101).

The spelling of 100022232100 in words is "one hundred billion, twenty-two million, two hundred thirty-two thousand, one hundred".