102212022022011 has 24 divisors (see below), whose sum is σ = 162538995281520. Its totient is φ = 61378361841600.

The previous prime is 102212022022003. The next prime is 102212022022027. The reversal of 102212022022011 is 110220220212201.

It is a happy number.

102212022022011 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 0 + 220 + 220 + 11 = 666.

It is not a de Polignac number, because 102212022022011 - 2³ = 102212022022003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102212022022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4735973920 + ... + 4735995501.

It is an arithmetic number, because the mean of its divisors is an integer number (6772458136730).

Almost surely, 2^{102212022022011} is an apocalyptic number.

102212022022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102212022022011 is a deficient number, since it is larger than the sum of its proper divisors (60326973259509).

102212022022011 is a wasteful number, since it uses less digits than its factorization.

102212022022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471969547 (or 9471969544 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212022022011 its reverse (110220220212201), we get a palindrome (212432242234212).

The spelling of 102212022022011 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, twenty-two thousand, eleven".