102002122222011 has 160 divisors (see below), whose sum is σ = 169193655079680. Its totient is φ = 60723157248000.

The previous prime is 102002122221977. The next prime is 102002122222067. The reversal of 102002122222011 is 110222221200201.

It is a happy number.

102002122222011 is a `hidden beast` number, since 1 + 0 + 200 + 21 + 222 + 220 + 1 + 1 = 666.

102002122222011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102002122222011 - 2²² = 102002118027707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102002122221011) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17433277236 + ... + 17433283086.

It is an arithmetic number, because the mean of its divisors is an integer number (1057460344248).

Almost surely, 2^{102002122222011} is an apocalyptic number.

102002122222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102002122222011 is a deficient number, since it is larger than the sum of its proper divisors (67191532857669).

102002122222011 is a wasteful number, since it uses less digits than its factorization.

102002122222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6990 counting only the distinct ones).

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

Adding to 102002122222011 its reverse (110222221200201), we get a palindrome (212224343422212).

The spelling of 102002122222011 in words is "one hundred two trillion, two billion, one hundred twenty-two million, two hundred twenty-two thousand, eleven".