1221121121153 has 2 divisors, whose sum is σ = 1221121121154. Its totient is φ = 1221121121152.

The previous prime is 1221121121149. The next prime is 1221121121237. The reversal of 1221121121153 is 3511211211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1108794258049 + 112326863104 = 1052993^2 + 335152^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221121121153 - 2² = 1221121121149 is a prime.

It is a super-2 number, since 2×1221121121153² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1221121127153) 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 as a sum of consecutive naturals, namely, 610560560576 + 610560560577.

It is an arithmetic number, because the mean of its divisors is an integer number (610560560577).

Almost surely, 2^{1221121121153} is an apocalyptic number.

It is an amenable number.

1221121121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221121121153 is an equidigital number, since it uses as much as digits as its factorization.

1221121121153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 23.

Adding to 1221121121153 its reverse (3511211211221), we get a palindrome (4732332332374).

The spelling of 1221121121153 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred fifty-three".