101101112222101 has 2 divisors, whose sum is σ = 101101112222102. Its totient is φ = 101101112222100.

The previous prime is 101101112222059. The next prime is 101101112222141. The reversal of 101101112222101 is 101222211101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99392405741476 + 1708706480625 = 9969574^2 + 1307175^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101112222101 - 2¹⁹ = 101101111697813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101112222141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550556111050 + 50550556111051.

It is an arithmetic number, because the mean of its divisors is an integer number (50550556111051).

Almost surely, 2^{101101112222101} is an apocalyptic number.

It is an amenable number.

101101112222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101112222101 is an equidigital number, since it uses as much as digits as its factorization.

101101112222101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101101112222101 its reverse (101222211101101), we get a palindrome (202323323323202).

The spelling of 101101112222101 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred one".