10021011221221 has 32 divisors (see below), whose sum is σ = 13888809639936. Its totient is φ = 6975406584000.

The previous prime is 10021011221197. The next prime is 10021011221231. The reversal of 10021011221221 is 12212211012001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10021011221221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021011221195 and 10021011221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021011221231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161436715 + ... + 161498776.

It is an arithmetic number, because the mean of its divisors is an integer number (434025301248).

Almost surely, 2^{10021011221221} is an apocalyptic number.

10021011221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021011221221 is a deficient number, since it is larger than the sum of its proper divisors (3867798418715).

10021011221221 is a wasteful number, since it uses less digits than its factorization.

10021011221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322935553.

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

Adding to 10021011221221 its reverse (12212211012001), we get a palindrome (22233222233222).

The spelling of 10021011221221 in words is "ten trillion, twenty-one billion, eleven million, two hundred twenty-one thousand, two hundred twenty-one".