1221122110101 has 128 divisors (see below), whose sum is σ = 1807711825920. Its totient is φ = 731273453568.

The previous prime is 1221122110099. The next prime is 1221122110163. The reversal of 1221122110101 is 1010112211221.

It is a happy number.

It is not a de Polignac number, because 1221122110101 - 2¹ = 1221122110099 is a prime.

It is a super-2 number, since 2×1221122110101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221122117101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1382923806 + ... + 1382924688.

It is an arithmetic number, because the mean of its divisors is an integer number (14122748640).

Almost surely, 2^{1221122110101} is an apocalyptic number.

It is an amenable number.

1221122110101 is a deficient number, since it is larger than the sum of its proper divisors (586589715819).

1221122110101 is a wasteful number, since it uses less digits than its factorization.

1221122110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1221122110101 its reverse (1010112211221), we get a palindrome (2231234321322).

It can be divided in two parts, 12211221 and 10101, that multiplied together give a palindrome (123345543321).

The spelling of 1221122110101 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".