100122011000100 has 108 divisors (see below), whose sum is σ = 322308688851604. Its totient is φ = 25977602845440.

The previous prime is 100122011000083. The next prime is 100122011000101. The reversal of 100122011000100 is 1000110221001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14571794559204 + 85550216440896 = 3817302^2 + 9249336^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100122011000101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1503300199 + ... + 1503366798.

Almost surely, 2^{100122011000100} is an apocalyptic number.

100122011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122011000100 is an abundant number, since it is smaller than the sum of its proper divisors (222186677851504).

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

100122011000100 is a wasteful number, since it uses less digits than its factorization.

100122011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006667054 (or 3006667044 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100122011000100 its reverse (1000110221001), we get a palindrome (101122121221101).

The spelling of 100122011000100 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, one hundred", and thus it is an aban number.