201102101 has 2 divisors, whose sum is σ = 201102102. Its totient is φ = 201102100.

The previous prime is 201102073. The next prime is 201102103. The reversal of 201102101 is 101201102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192487876 + 8614225 = 13874^2 + 2935^2 .

It is a cyclic number.

It is not a de Polignac number, because 201102101 - 2¹⁰ = 201101077 is a prime.

It is a super-2 number, since 2×201102101² = 80884110053228402, which contains 22 as substring.

Together with 201102103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201102103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100551050 + 100551051.

It is an arithmetic number, because the mean of its divisors is an integer number (100551051).

Almost surely, 2^201102101 is an apocalyptic number.

It is an amenable number.

201102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201102101 is an equidigital number, since it uses as much as digits as its factorization.

201102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 201102101 is about 14181.0472462368. The cubic root of 201102101 is about 585.8757681799.

Adding to 201102101 its reverse (101201102), we get a palindrome (302303203).

Subtracting from 201102101 its reverse (101201102), we obtain a palindrome (99900999).

It can be divided in two parts, 201102 and 101, that multiplied together give a palindrome (20311302).

The spelling of 201102101 in words is "two hundred one million, one hundred two thousand, one hundred one".