201102102101 has 2 divisors, whose sum is σ = 201102102102. Its totient is φ = 201102102100.

The previous prime is 201102102067. The next prime is 201102102121. The reversal of 201102102101 is 101201201102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115074279076 + 86027823025 = 339226^2 + 293305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201102102101 is a prime.

It is a super-2 number, since 2×201102102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201102102121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100551051050 + 100551051051.

It is an arithmetic number, because the mean of its divisors is an integer number (100551051051).

Almost surely, 2^201102102101 is an apocalyptic number.

It is an amenable number.

201102102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201102102101 is an equidigital number, since it uses as much as digits as its factorization.

201102102101 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 11.

Adding to 201102102101 its reverse (101201201102), we get a palindrome (302303303203).

Subtracting from 201102102101 its reverse (101201201102), we obtain a palindrome (99900900999).

The spelling of 201102102101 in words is "two hundred one billion, one hundred two million, one hundred two thousand, one hundred one".