10221211220121 has 120 divisors (see below), whose sum is σ = 17005630811400. Its totient is φ = 6112771315200.

The previous prime is 10221211220119. The next prime is 10221211220123. The reversal of 10221211220121 is 12102211212201.

10221211220121 is a `hidden beast` number, since 1 + 0 + 221 + 211 + 220 + 12 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10221211220119) and next prime (10221211220123).

It can be written as a sum of positive squares in 4 ways, for example, as 349901825625 + 9871309394496 = 591525^2 + 3141864^2 .

It is not a de Polignac number, because 10221211220121 - 2¹ = 10221211220119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221211220094 and 10221211220103.

It is not an unprimeable number, because it can be changed into a prime (10221211220123) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 443983591 + ... + 444006611.

It is an arithmetic number, because the mean of its divisors is an integer number (141713590095).

Almost surely, 2^{10221211220121} is an apocalyptic number.

10221211220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221211220121 is a deficient number, since it is larger than the sum of its proper divisors (6784419591279).

10221211220121 is a wasteful number, since it uses less digits than its factorization.

10221211220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23653 (or 23633 counting only the distinct ones).

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

Adding to 10221211220121 its reverse (12102211212201), we get a palindrome (22323422432322).

The spelling of 10221211220121 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty-one".