221102122102011 has 12 divisors (see below), whose sum is σ = 319655649336192. Its totient is φ = 147269452852656.

The previous prime is 221102122102003. The next prime is 221102122102019. The reversal of 221102122102011 is 110201221201122.

221102122102011 is a `hidden beast` number, since 2 + 211 + 0 + 212 + 210 + 20 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (221102122102003) and next prime (221102122102019).

It is not a de Polignac number, because 221102122102011 - 2³ = 221102122102003 is a prime.

It is a super-2 number, since 2×221102122102011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221102122102019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10996812891 + ... + 10996832996.

It is an arithmetic number, because the mean of its divisors is an integer number (26637970778016).

Almost surely, 2^{221102122102011} is an apocalyptic number.

221102122102011 is a deficient number, since it is larger than the sum of its proper divisors (98553527234181).

221102122102011 is a wasteful number, since it uses less digits than its factorization.

221102122102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21993647010 (or 21993647007 counting only the distinct ones).

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

Adding to 221102122102011 its reverse (110201221201122), we get a palindrome (331303343303133).

The spelling of 221102122102011 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-two million, one hundred two thousand, eleven".