100010122210100 has 72 divisors (see below), whose sum is σ = 229794758241048. Its totient is φ = 37649756160000.

The previous prime is 100010122210091. The next prime is 100010122210121. The reversal of 100010122210100 is 1012221010001.

It can be written as a sum of positive squares in 12 ways, for example, as 38156490284836 + 61853631925264 = 6177094^2 + 7864708^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57799124 + ... + 59504276.

It is an arithmetic number, because the mean of its divisors is an integer number (3191593864459).

Almost surely, 2^{100010122210100} is an apocalyptic number.

100010122210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010122210100 is an abundant number, since it is smaller than the sum of its proper divisors (129784636030948).

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

100010122210100 is a wasteful number, since it uses less digits than its factorization.

100010122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739685 (or 1739678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010122210100 its reverse (1012221010001), we get a palindrome (101022343220101).

The spelling of 100010122210100 in words is "one hundred trillion, ten billion, one hundred twenty-two million, two hundred ten thousand, one hundred".