10100100111221 has 2 divisors, whose sum is σ = 10100100111222. Its totient is φ = 10100100111220.

The previous prime is 10100100111103. The next prime is 10100100111223. The reversal of 10100100111221 is 12211100100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9569810307121 + 530289804100 = 3093511^2 + 728210^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100111221 - 2³⁴ = 10082920242037 is a prime.

It is a super-2 number, since 2×10100100111221² (a number of 27 digits) contains 22 as substring.

Together with 10100100111223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100111223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050055610 + 5050050055611.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050055611).

Almost surely, 2^{10100100111221} is an apocalyptic number.

It is an amenable number.

10100100111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100111221 is an equidigital number, since it uses as much as digits as its factorization.

10100100111221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100100111221 its reverse (12211100100101), we get a palindrome (22311200211322).

The spelling of 10100100111221 in words is "ten trillion, one hundred billion, one hundred million, one hundred eleven thousand, two hundred twenty-one".