102211122001 has 2 divisors, whose sum is σ = 102211122002. Its totient is φ = 102211122000.

The previous prime is 102211121989. The next prime is 102211122023. The reversal of 102211122001 is 100221112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101889278401 + 321843600 = 319201^2 + 17940^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211122001 - 2²⁹ = 101674251089 is a prime.

It is a super-2 number, since 2×102211122001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102211192001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105561000 + 51105561001.

It is an arithmetic number, because the mean of its divisors is an integer number (51105561001).

Almost surely, 2^102211122001 is an apocalyptic number.

It is an amenable number.

102211122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211122001 is an equidigital number, since it uses as much as digits as its factorization.

102211122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102211122001 its reverse (100221112201), we get a palindrome (202432234202).

It can be divided in two parts, 10221112200 and 1, that added together give a palindrome (10221112201).

The spelling of 102211122001 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, one".