102100100121 has 12 divisors (see below), whose sum is σ = 147539685540. Its totient is φ = 68038227360.

The previous prime is 102100100111. The next prime is 102100100143. The reversal of 102100100121 is 121001001201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41158265625 + 60941834496 = 202875^2 + 246864^2 .

It is not a de Polignac number, because 102100100121 - 2¹⁰ = 102100099097 is a prime.

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 (102100100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2352810 + ... + 2395811.

It is an arithmetic number, because the mean of its divisors is an integer number (12294973795).

Almost surely, 2^102100100121 is an apocalyptic number.

It is an amenable number.

102100100121 is a deficient number, since it is larger than the sum of its proper divisors (45439585419).

102100100121 is a wasteful number, since it uses less digits than its factorization.

102100100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751016 (or 4751013 counting only the distinct ones).

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

Adding to 102100100121 its reverse (121001001201), we get a palindrome (223101101322).

The spelling of 102100100121 in words is "one hundred two billion, one hundred million, one hundred thousand, one hundred twenty-one".