100001122000 has 80 divisors (see below), whose sum is σ = 260402989392. Its totient is φ = 36923481600.

The previous prime is 100001121991. The next prime is 100001122003. The reversal of 100001122000 is 221100001.

It can be written as a sum of positive squares in 8 ways, for example, as 16731939904 + 83269182096 = 129352^2 + 288564^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897099 + ... + 1949098.

Almost surely, 2^100001122000 is an apocalyptic number.

100001122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001122000 is an abundant number, since it is smaller than the sum of its proper divisors (160401867392).

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

100001122000 is a wasteful number, since it uses less digits than its factorization.

100001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846233 (or 3846217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100001122000 its reverse (221100001), we get a palindrome (100222222001).

The spelling of 100001122000 in words is "one hundred billion, one million, one hundred twenty-two thousand".