100211122220021 has 2 divisors, whose sum is σ = 100211122220022. Its totient is φ = 100211122220020.

The previous prime is 100211122219961. The next prime is 100211122220023. The reversal of 100211122220021 is 120022221112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74323123819396 + 25887998400625 = 8621086^2 + 5088025^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211122220021 - 2¹⁰ = 100211122218997 is a prime.

Together with 100211122220023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211122220023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105561110010 + 50105561110011.

It is an arithmetic number, because the mean of its divisors is an integer number (50105561110011).

Almost surely, 2^{100211122220021} is an apocalyptic number.

It is an amenable number.

100211122220021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211122220021 is an equidigital number, since it uses as much as digits as its factorization.

100211122220021 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 100211122220021 its reverse (120022221112001), we get a palindrome (220233343332022).

The spelling of 100211122220021 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, twenty-one".