100211022022121 has 2 divisors, whose sum is σ = 100211022022122. Its totient is φ = 100211022022120.

The previous prime is 100211022022103. The next prime is 100211022022123. The reversal of 100211022022121 is 121220220112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99092368885225 + 1118653136896 = 9954515^2 + 1057664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211022022121 is a prime.

Together with 100211022022123, 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 100211022022121.

It is not a weakly prime, because it can be changed into another prime (100211022022123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105511011060 + 50105511011061.

It is an arithmetic number, because the mean of its divisors is an integer number (50105511011061).

Almost surely, 2^{100211022022121} is an apocalyptic number.

It is an amenable number.

100211022022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211022022121 is an equidigital number, since it uses as much as digits as its factorization.

100211022022121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100211022022121 its reverse (121220220112001), we get a palindrome (221431242134122).

The spelling of 100211022022121 in words is "one hundred trillion, two hundred eleven billion, twenty-two million, twenty-two thousand, one hundred twenty-one".