100100122101 has 96 divisors (see below), whose sum is σ = 177213004800. Its totient is φ = 53173843200.

The previous prime is 100100122081. The next prime is 100100122123. The reversal of 100100122101 is 101221001001.

It is a happy number.

It is not a de Polignac number, because 100100122101 - 2¹¹ = 100100120053 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55579401 + ... + 55581201.

It is an arithmetic number, because the mean of its divisors is an integer number (1845968800).

Almost surely, 2^100100122101 is an apocalyptic number.

It is an amenable number.

100100122101 is a deficient number, since it is larger than the sum of its proper divisors (77112882699).

100100122101 is a wasteful number, since it uses less digits than its factorization.

100100122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2676 counting only the distinct ones).

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

Adding to 100100122101 its reverse (101221001001), we get a palindrome (201321123102).

The spelling of 100100122101 in words is "one hundred billion, one hundred million, one hundred twenty-two thousand, one hundred one".