10221221122011 has 96 divisors (see below), whose sum is σ = 15419561189760. Its totient is φ = 6516514271232.

The previous prime is 10221221122003. The next prime is 10221221122031. The reversal of 10221221122011 is 11022112212201.

10221221122011 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 211 + 220 + 11 = 666.

It is not a de Polignac number, because 10221221122011 - 2³ = 10221221122003 is a prime.

It is a super-2 number, since 2×10221221122011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221221122031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15797868490 + ... + 15797869136.

It is an arithmetic number, because the mean of its divisors is an integer number (160620429060).

Almost surely, 2^{10221221122011} is an apocalyptic number.

10221221122011 is a deficient number, since it is larger than the sum of its proper divisors (5198340067749).

10221221122011 is a wasteful number, since it uses less digits than its factorization.

10221221122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1922 counting only the distinct ones).

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

Adding to 10221221122011 its reverse (11022112212201), we get a palindrome (21243333334212).

The spelling of 10221221122011 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, eleven".