101221001211101 has 2 divisors, whose sum is σ = 101221001211102. Its totient is φ = 101221001211100.

The previous prime is 101221001211073. The next prime is 101221001211131. The reversal of 101221001211101 is 101112100122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66783234754201 + 34437766456900 = 8172101^2 + 5868370^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221001211101 - 2²⁶ = 101220934102237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221001211131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610500605550 + 50610500605551.

It is an arithmetic number, because the mean of its divisors is an integer number (50610500605551).

Almost surely, 2^{101221001211101} is an apocalyptic number.

It is an amenable number.

101221001211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221001211101 is an equidigital number, since it uses as much as digits as its factorization.

101221001211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101221001211101 its reverse (101112100122101), we get a palindrome (202333101333202).

The spelling of 101221001211101 in words is "one hundred one trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, one hundred one".