12211000000101 has 192 divisors, whose sum is σ = 22620796563456. Its totient is φ = 6423616742400.

The previous prime is 12211000000099. The next prime is 12211000000103. The reversal of 12211000000101 is 10100000011221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12211000000099) and next prime (12211000000103).

It is not a de Polignac number, because 12211000000101 - 2¹ = 12211000000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211000000103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 507278896 + ... + 507302966.

It is an arithmetic number, because the mean of its divisors is an integer number (117816648768).

Almost surely, 2^{12211000000101} is an apocalyptic number.

It is an amenable number.

12211000000101 is a deficient number, since it is larger than the sum of its proper divisors (10409796563355).

12211000000101 is a wasteful number, since it uses less digits than its factorization.

12211000000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24494 (or 24482 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12211000000101 its reverse (10100000011221), we get a palindrome (22311000011322).

The spelling of 12211000000101 in words is "twelve trillion, two hundred eleven billion, one hundred one", and thus it is an aban number.