2101022022101 has 2 divisors, whose sum is σ = 2101022022102. Its totient is φ = 2101022022100.

The previous prime is 2101022022067. The next prime is 2101022022107. The reversal of 2101022022101 is 1012202201012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1975865979025 + 125156043076 = 1405655^2 + 353774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101022022101 - 2¹⁸ = 2101021759957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101022022107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050511011050 + 1050511011051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050511011051).

Almost surely, 2^{2101022022101} is an apocalyptic number.

It is an amenable number.

2101022022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101022022101 is an equidigital number, since it uses as much as digits as its factorization.

2101022022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2101022022101 its reverse (1012202201012), we get a palindrome (3113224223113).

The spelling of 2101022022101 in words is "two trillion, one hundred one billion, twenty-two million, twenty-two thousand, one hundred one".