101221100122001 has 2 divisors, whose sum is σ = 101221100122002. Its totient is φ = 101221100122000.

The previous prime is 101221100121859. The next prime is 101221100122013. The reversal of 101221100122001 is 100221001122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88954154265601 + 12266945856400 = 9431551^2 + 3502420^2 .

It is an emirp because it is prime and its reverse (100221001122101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101221100122001 - 2¹⁸ = 101221099859857 is a prime.

It is a super-2 number, since 2×101221100122001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101221100127001) 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 as a sum of consecutive naturals, namely, 50610550061000 + 50610550061001.

It is an arithmetic number, because the mean of its divisors is an integer number (50610550061001).

Almost surely, 2^{101221100122001} is an apocalyptic number.

It is an amenable number.

101221100122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221100122001 is an equidigital number, since it uses as much as digits as its factorization.

101221100122001 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 14.

Adding to 101221100122001 its reverse (100221001122101), we get a palindrome (201442101244102).

It can be divided in two parts, 101221100 and 122001, that added together give a palindrome (101343101).

The spelling of 101221100122001 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one".