21100112002301 has 2 divisors, whose sum is σ = 21100112002302. Its totient is φ = 21100112002300.

The previous prime is 21100112002273. The next prime is 21100112002381. The reversal of 21100112002301 is 10320021100112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15304291684900 + 5795820317401 = 3912070^2 + 2407451^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100112002301 - 2¹⁸ = 21100111740157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21100112002381) 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, 10550056001150 + 10550056001151.

It is an arithmetic number, because the mean of its divisors is an integer number (10550056001151).

Almost surely, 2^{21100112002301} is an apocalyptic number.

It is an amenable number.

21100112002301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100112002301 is an equidigital number, since it uses as much as digits as its factorization.

21100112002301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21100112002301 its reverse (10320021100112), we get a palindrome (31420133102413).

The spelling of 21100112002301 in words is "twenty-one trillion, one hundred billion, one hundred twelve million, two thousand, three hundred one".