10412211101101 has 2 divisors, whose sum is σ = 10412211101102. Its totient is φ = 10412211101100.

The previous prime is 10412211101057. The next prime is 10412211101113. The reversal of 10412211101101 is 10110111221401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9755096589225 + 657114511876 = 3123315^2 + 810626^2 .

It is a cyclic number.

It is not a de Polignac number, because 10412211101101 - 2³¹ = 10410063617453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10412211101141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5206105550550 + 5206105550551.

It is an arithmetic number, because the mean of its divisors is an integer number (5206105550551).

Almost surely, 2^{10412211101101} is an apocalyptic number.

It is an amenable number.

10412211101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10412211101101 is an equidigital number, since it uses as much as digits as its factorization.

10412211101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10412211101101 its reverse (10110111221401), we get a palindrome (20522322322502).

The spelling of 10412211101101 in words is "ten trillion, four hundred twelve billion, two hundred eleven million, one hundred one thousand, one hundred one".