100021112129 has 2 divisors, whose sum is σ = 100021112130. Its totient is φ = 100021112128.

The previous prime is 100021112119. The next prime is 100021112131. The reversal of 100021112129 is 921211120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97994041600 + 2027070529 = 313040^2 + 45023^2 .

It is an emirp because it is prime and its reverse (921211120001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100021112129 is a prime.

Together with 100021112131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100021112129.

It is not a weakly prime, because it can be changed into another prime (100021112119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010556064 + 50010556065.

It is an arithmetic number, because the mean of its divisors is an integer number (50010556065).

Almost surely, 2^100021112129 is an apocalyptic number.

It is an amenable number.

100021112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021112129 is an equidigital number, since it uses as much as digits as its factorization.

100021112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100021112129 in words is "one hundred billion, twenty-one million, one hundred twelve thousand, one hundred twenty-nine".