102211102122001 has 2 divisors, whose sum is σ = 102211102122002. Its totient is φ = 102211102122000.

The previous prime is 102211102121993. The next prime is 102211102122037. The reversal of 102211102122001 is 100221201112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91028772810000 + 11182329312001 = 9540900^2 + 3343999^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211102122001 - 2³ = 102211102121993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102211102122301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105551061000 + 51105551061001.

It is an arithmetic number, because the mean of its divisors is an integer number (51105551061001).

Almost surely, 2^{102211102122001} is an apocalyptic number.

It is an amenable number.

102211102122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211102122001 is an equidigital number, since it uses as much as digits as its factorization.

102211102122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102211102122001 its reverse (100221201112201), we get a palindrome (202432303234202).

The spelling of 102211102122001 in words is "one hundred two trillion, two hundred eleven billion, one hundred two million, one hundred twenty-two thousand, one".