100211012221189 has 2 divisors, whose sum is σ = 100211012221190. Its totient is φ = 100211012221188.

The previous prime is 100211012221181. The next prime is 100211012221213. The reversal of 100211012221189 is 981122210112001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97859874532225 + 2351137688964 = 9892415^2 + 1533342^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211012221189 - 2³ = 100211012221181 is a prime.

It is a super-2 number, since 2×100211012221189² (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 100211012221189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211012221181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105506110594 + 50105506110595.

It is an arithmetic number, because the mean of its divisors is an integer number (50105506110595).

Almost surely, 2^{100211012221189} is an apocalyptic number.

It is an amenable number.

100211012221189 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211012221189 is an equidigital number, since it uses as much as digits as its factorization.

100211012221189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 100211012221189 in words is "one hundred trillion, two hundred eleven billion, twelve million, two hundred twenty-one thousand, one hundred eighty-nine".