21101202100201 has 2 divisors, whose sum is σ = 21101202100202. Its totient is φ = 21101202100200.

The previous prime is 21101202100189. The next prime is 21101202100247. The reversal of 21101202100201 is 10200120210112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18544564195600 + 2556637904601 = 4306340^2 + 1598949^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101202100201 - 2⁹ = 21101202099689 is a prime.

It is not a weakly prime, because it can be changed into another prime (21101202101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550601050100 + 10550601050101.

It is an arithmetic number, because the mean of its divisors is an integer number (10550601050101).

Almost surely, 2^{21101202100201} is an apocalyptic number.

It is an amenable number.

21101202100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101202100201 is an equidigital number, since it uses as much as digits as its factorization.

21101202100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21101202100201 its reverse (10200120210112), we get a palindrome (31301322310313).

The spelling of 21101202100201 in words is "twenty-one trillion, one hundred one billion, two hundred two million, one hundred thousand, two hundred one".