1221131113101 has 8 divisors (see below), whose sum is σ = 1809083130560. Its totient is φ = 814087408716.

The previous prime is 1221131113087. The next prime is 1221131113157. The reversal of 1221131113101 is 1013111311221.

1221131113101 is a `hidden beast` number, since 1 + 221 + 1 + 311 + 131 + 0 + 1 = 666.

It is not a de Polignac number, because 1221131113101 - 2¹³ = 1221131104909 is a prime.

It is a super-2 number, since 2×1221131113101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221131113171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22613539105 + ... + 22613539158.

It is an arithmetic number, because the mean of its divisors is an integer number (226135391320).

Almost surely, 2^{1221131113101} is an apocalyptic number.

It is an amenable number.

1221131113101 is a deficient number, since it is larger than the sum of its proper divisors (587952017459).

1221131113101 is an equidigital number, since it uses as much as digits as its factorization.

1221131113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45227078272 (or 45227078266 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1221131113101 its reverse (1013111311221), we get a palindrome (2234242424322).

The spelling of 1221131113101 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred one".