102212101120001 has 2 divisors, whose sum is σ = 102212101120002. Its totient is φ = 102212101120000.

The previous prime is 102212101119979. The next prime is 102212101120037. The reversal of 102212101120001 is 100021101212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102120321811600 + 91779308401 = 10105460^2 + 302951^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212101120001 - 2¹⁴ = 102212101103617 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212101120061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106050560000 + 51106050560001.

It is an arithmetic number, because the mean of its divisors is an integer number (51106050560001).

Almost surely, 2^{102212101120001} is an apocalyptic number.

It is an amenable number.

102212101120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212101120001 is an equidigital number, since it uses as much as digits as its factorization.

102212101120001 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 102212101120001 its reverse (100021101212201), we get a palindrome (202233202332202).

The spelling of 102212101120001 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, one hundred twenty thousand, one".