1012011221221 has 144 divisors (see below), whose sum is σ = 1430027440128. Its totient is φ = 709007523840.

The previous prime is 1012011221203. The next prime is 1012011221233. The reversal of 1012011221221 is 1221221102101.

It is not a de Polignac number, because 1012011221221 - 2⁵ = 1012011221189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012011221195 and 1012011221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012011231221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 931012540 + ... + 931013626.

It is an arithmetic number, because the mean of its divisors is an integer number (9930746112).

Almost surely, 2^{1012011221221} is an apocalyptic number.

1012011221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012011221221 is a deficient number, since it is larger than the sum of its proper divisors (418016218907).

1012011221221 is a wasteful number, since it uses less digits than its factorization.

1012011221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1012011221221 its reverse (1221221102101), we get a palindrome (2233232323322).

The spelling of 1012011221221 in words is "one trillion, twelve billion, eleven million, two hundred twenty-one thousand, two hundred twenty-one".