1012121221221 has 48 divisors (see below), whose sum is σ = 1679566487040. Its totient is φ = 580856067360.

The previous prime is 1012121221193. The next prime is 1012121221253. The reversal of 1012121221221 is 1221221212101.

1012121221221 is a `hidden beast` number, since 10 + 1 + 212 + 1 + 221 + 221 = 666.

It is not a de Polignac number, because 1012121221221 - 2²¹ = 1012119124069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012121221194 and 1012121221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012121221621) 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 47 ways as a sum of consecutive naturals, for example, 4021720 + ... + 4265966.

It is an arithmetic number, because the mean of its divisors is an integer number (34990968480).

Almost surely, 2^{1012121221221} is an apocalyptic number.

1012121221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012121221221 is a deficient number, since it is larger than the sum of its proper divisors (667445265819).

1012121221221 is a wasteful number, since it uses less digits than its factorization.

1012121221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246486 (or 246483 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1012121221221 its reverse (1221221212101), we get a palindrome (2233342433322).

The spelling of 1012121221221 in words is "one trillion, twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-one".