101221212202001 has 2 divisors, whose sum is σ = 101221212202002. Its totient is φ = 101221212202000.

The previous prime is 101221212201971. The next prime is 101221212202009. The reversal of 101221212202001 is 100202212122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67571293470976 + 33649918731025 = 8220176^2 + 5800855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221212202001 is a prime.

It is a super-2 number, since 2×101221212202001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101221212202009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610606101000 + 50610606101001.

It is an arithmetic number, because the mean of its divisors is an integer number (50610606101001).

Almost surely, 2^{101221212202001} is an apocalyptic number.

It is an amenable number.

101221212202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221212202001 is an equidigital number, since it uses as much as digits as its factorization.

101221212202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101221212202001 its reverse (100202212122101), we get a palindrome (201423424324102).

The spelling of 101221212202001 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twelve million, two hundred two thousand, one".