21100101210211 has 2 divisors, whose sum is σ = 21100101210212. Its totient is φ = 21100101210210.

The previous prime is 21100101210191. The next prime is 21100101210233. The reversal of 21100101210211 is 11201210100112.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 21100101210211 - 2¹⁵ = 21100101177443 is a prime.

It is a super-2 number, since 2×21100101210211² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21100101210191 and 21100101210200.

It is not a weakly prime, because it can be changed into another prime (21100101010211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550050605105 + 10550050605106.

It is an arithmetic number, because the mean of its divisors is an integer number (10550050605106).

Almost surely, 2^{21100101210211} is an apocalyptic number.

21100101210211 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100101210211 is an equidigital number, since it uses as much as digits as its factorization.

21100101210211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21100101210211 its reverse (11201210100112), we get a palindrome (32301311310323).

The spelling of 21100101210211 in words is "twenty-one trillion, one hundred billion, one hundred one million, two hundred ten thousand, two hundred eleven".