21100243211101 has 2 divisors, whose sum is σ = 21100243211102. Its totient is φ = 21100243211100.

The previous prime is 21100243210979. The next prime is 21100243211129. The reversal of 21100243211101 is 10111234200112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11981359188100 + 9118884023001 = 3461410^2 + 3019749^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100243211101 - 2³¹ = 21098095727453 is a prime.

It is a super-2 number, since 2×21100243211101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21100243211401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550121605550 + 10550121605551.

It is an arithmetic number, because the mean of its divisors is an integer number (10550121605551).

Almost surely, 2^{21100243211101} is an apocalyptic number.

It is an amenable number.

21100243211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100243211101 is an equidigital number, since it uses as much as digits as its factorization.

21100243211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21100243211101 its reverse (10111234200112), we get a palindrome (31211477411213).

The spelling of 21100243211101 in words is "twenty-one trillion, one hundred billion, two hundred forty-three million, two hundred eleven thousand, one hundred one".