211101102020101 has 2 divisors, whose sum is σ = 211101102020102. Its totient is φ = 211101102020100.

The previous prime is 211101102019999. The next prime is 211101102020161. The reversal of 211101102020101 is 101020201101112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169291299417601 + 41809802602500 = 13011199^2 + 6466050^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101102020101 - 2²⁹ = 211100565149189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211101102020161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550551010050 + 105550551010051.

It is an arithmetic number, because the mean of its divisors is an integer number (105550551010051).

Almost surely, 2^{211101102020101} is an apocalyptic number.

It is an amenable number.

211101102020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101102020101 is an equidigital number, since it uses as much as digits as its factorization.

211101102020101 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 13.

Adding to 211101102020101 its reverse (101020201101112), we get a palindrome (312121303121213).

The spelling of 211101102020101 in words is "two hundred eleven trillion, one hundred one billion, one hundred two million, twenty thousand, one hundred one".