2100200022101 has 2 divisors, whose sum is σ = 2100200022102. Its totient is φ = 2100200022100.

The previous prime is 2100200022061. The next prime is 2100200022113. The reversal of 2100200022101 is 1012200020012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2093895820900 + 6304201201 = 1447030^2 + 79399^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100200022101 - 2³⁸ = 1825322115157 is a prime.

It is a super-3 number, since 3×2100200022101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100200022121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050100011050 + 1050100011051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050100011051).

Almost surely, 2^{2100200022101} is an apocalyptic number.

It is an amenable number.

2100200022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100200022101 is an equidigital number, since it uses as much as digits as its factorization.

2100200022101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100200022101 its reverse (1012200020012), we get a palindrome (3112400042113).

The spelling of 2100200022101 in words is "two trillion, one hundred billion, two hundred million, twenty-two thousand, one hundred one".