100211210021929 has 2 divisors, whose sum is σ = 100211210021930. Its totient is φ = 100211210021928.

The previous prime is 100211210021893. The next prime is 100211210022041. The reversal of 100211210021929 is 929120012112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65581280543529 + 34629929478400 = 8098227^2 + 5884720^2 .

It is an emirp because it is prime and its reverse (929120012112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100211210021929 - 2⁴⁵ = 65026837933097 is a prime.

It is a super-2 number, since 2×100211210021929² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100211210021929.

It is not a weakly prime, because it can be changed into another prime (100211210024929) 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 as a sum of consecutive naturals, namely, 50105605010964 + 50105605010965.

It is an arithmetic number, because the mean of its divisors is an integer number (50105605010965).

Almost surely, 2^{100211210021929} is an apocalyptic number.

It is an amenable number.

100211210021929 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211210021929 is an equidigital number, since it uses as much as digits as its factorization.

100211210021929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 100211210021929 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, twenty-one thousand, nine hundred twenty-nine".