102122011222011 has 24 divisors (see below), whose sum is σ = 161728173734400. Its totient is φ = 61581112282800.

The previous prime is 102122011222009. The next prime is 102122011222057. The reversal of 102122011222011 is 110222110221201.

102122011222011 is a `hidden beast` number, since 10 + 212 + 201 + 12 + 220 + 11 = 666.

It is not a de Polignac number, because 102122011222011 - 2¹ = 102122011222009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122011222001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2591777955 + ... + 2591817356.

It is an arithmetic number, because the mean of its divisors is an integer number (6738673905600).

Almost surely, 2^{102122011222011} is an apocalyptic number.

102122011222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102122011222011 is a deficient number, since it is larger than the sum of its proper divisors (59606162512389).

102122011222011 is a wasteful number, since it uses less digits than its factorization.

102122011222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183595527 (or 5183595524 counting only the distinct ones).

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

Adding to 102122011222011 its reverse (110222110221201), we get a palindrome (212344121443212).

The spelling of 102122011222011 in words is "one hundred two trillion, one hundred twenty-two billion, eleven million, two hundred twenty-two thousand, eleven".