12211121019101 has 2 divisors, whose sum is σ = 12211121019102. Its totient is φ = 12211121019100.

The previous prime is 12211121019059. The next prime is 12211121019137. The reversal of 12211121019101 is 10191012111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6381817803076 + 5829303216025 = 2526226^2 + 2414395^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211121019101 - 2³⁴ = 12193941149917 is a prime.

It is a super-2 number, since 2×12211121019101² (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 (12211121019151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105560509550 + 6105560509551.

It is an arithmetic number, because the mean of its divisors is an integer number (6105560509551).

Almost surely, 2^{12211121019101} is an apocalyptic number.

It is an amenable number.

12211121019101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211121019101 is an equidigital number, since it uses as much as digits as its factorization.

12211121019101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 12211121019101 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, nineteen thousand, one hundred one".