101102101 has 2 divisors, whose sum is σ = 101102102. Its totient is φ = 101102100.

The previous prime is 101102087. The next prime is 101102107. The reversal of 101102101 is 101201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99002500 + 2099601 = 9950^2 + 1449^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102101 - 2⁹ = 101101589 is a prime.

It is a super-2 number, since 2×101102101² = 20443269653228402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551050 + 50551051.

It is an arithmetic number, because the mean of its divisors is an integer number (50551051).

Almost surely, 2^101102101 is an apocalyptic number.

It is an amenable number.

101102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102101 is an equidigital number, since it uses as much as digits as its factorization.

101102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 101102101 is about 10054.9540526051. The cubic root of 101102101 is about 465.8578237820.

Adding to 101102101 its reverse (101201101), we get a palindrome (202303202).

The spelling of 101102101 in words is "one hundred one million, one hundred two thousand, one hundred one".