1221112001101 has 2 divisors, whose sum is σ = 1221112001102. Its totient is φ = 1221112001100.

The previous prime is 1221112001089. The next prime is 1221112001143. The reversal of 1221112001101 is 1011002111221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 995345428900 + 225766572201 = 997670^2 + 475149^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221112001101 - 2³⁷ = 1083673047629 is a prime.

It is a super-2 number, since 2×1221112001101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221112001171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610556000550 + 610556000551.

It is an arithmetic number, because the mean of its divisors is an integer number (610556000551).

Almost surely, 2^{1221112001101} is an apocalyptic number.

It is an amenable number.

1221112001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221112001101 is an equidigital number, since it uses as much as digits as its factorization.

1221112001101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1221112001101 its reverse (1011002111221), we get a palindrome (2232114112322).

It can be divided in two parts, 122111 and 2001101, that added together give a palindrome (2123212).

The spelling of 1221112001101 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, one thousand, one hundred one".