10120211221221 has 64 divisors (see below), whose sum is σ = 15505555415040. Its totient is φ = 6516942946560.

The previous prime is 10120211221193. The next prime is 10120211221229. The reversal of 10120211221221 is 12212211202101.

10120211221221 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 211 + 221 + 221 = 666.

It is not a de Polignac number, because 10120211221221 - 2⁹ = 10120211220709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120211221194 and 10120211221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120211221229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1156194781 + ... + 1156203533.

It is an arithmetic number, because the mean of its divisors is an integer number (242274303360).

Almost surely, 2^{10120211221221} is an apocalyptic number.

It is an amenable number.

10120211221221 is a deficient number, since it is larger than the sum of its proper divisors (5385344193819).

10120211221221 is a wasteful number, since it uses less digits than its factorization.

10120211221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223 (or 11217 counting only the distinct ones).

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

Adding to 10120211221221 its reverse (12212211202101), we get a palindrome (22332422423322).

The spelling of 10120211221221 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty-one".