1221101110101 has 128 divisors (see below), whose sum is σ = 1808464896000. Its totient is φ = 730272153600.

The previous prime is 1221101110081. The next prime is 1221101110129. The reversal of 1221101110101 is 1010111011221.

It is not a de Polignac number, because 1221101110101 - 2¹⁷ = 1221100979029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221101110171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3498856875 + ... + 3498857223.

It is an arithmetic number, because the mean of its divisors is an integer number (14128632000).

Almost surely, 2^{1221101110101} is an apocalyptic number.

It is an amenable number.

1221101110101 is a deficient number, since it is larger than the sum of its proper divisors (587363785899).

1221101110101 is a wasteful number, since it uses less digits than its factorization.

1221101110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1221101110101 its reverse (1010111011221), we get a palindrome (2231212121322).

The spelling of 1221101110101 in words is "one trillion, two hundred twenty-one billion, one hundred one million, one hundred ten thousand, one hundred one".