101101220111201 has 2 divisors, whose sum is σ = 101101220111202. Its totient is φ = 101101220111200.

The previous prime is 101101220111189. The next prime is 101101220111263. The reversal of 101101220111201 is 102111022101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69316431271201 + 31784788840000 = 8325649^2 + 5637800^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101220111201 - 2¹⁸ = 101101219849057 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101220111501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550610055600 + 50550610055601.

It is an arithmetic number, because the mean of its divisors is an integer number (50550610055601).

Almost surely, 2^{101101220111201} is an apocalyptic number.

It is an amenable number.

101101220111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101220111201 is an equidigital number, since it uses as much as digits as its factorization.

101101220111201 is an evil number, because the sum of its binary digits is even.

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

Adding to 101101220111201 its reverse (102111022101101), we get a palindrome (203212242212302).

The spelling of 101101220111201 in words is "one hundred one trillion, one hundred one billion, two hundred twenty million, one hundred eleven thousand, two hundred one".