100122100 has 36 divisors (see below), whose sum is σ = 233980684. Its totient is φ = 36967680.

The previous prime is 100122089. The next prime is 100122179. The reversal of 100122100 is 1221001.

It can be written as a sum of positive squares in 6 ways, for example, as 242064 + 99880036 = 492^2 + 9994^2 .

100122100 is a modest number, since divided by 122100 gives 100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37209 + ... + 39808.

Almost surely, 2^100122100 is an apocalyptic number.

100122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122100 is an abundant number, since it is smaller than the sum of its proper divisors (133858584).

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

100122100 is a wasteful number, since it uses less digits than its factorization.

100122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77044 (or 77037 counting only the distinct ones).

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

The square root of 100122100 is about 10006.1031375856. The cubic root of 100122100 is about 464.3477191915.

Adding to 100122100 its reverse (1221001), we get a palindrome (101343101).

The spelling of 100122100 in words is "one hundred million, one hundred twenty-two thousand, one hundred".