102101101110101 has 2 divisors, whose sum is σ = 102101101110102. Its totient is φ = 102101101110100.

The previous prime is 102101101110083. The next prime is 102101101110131. The reversal of 102101101110101 is 101011101101201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82719006810001 + 19382094300100 = 9094999^2 + 4402510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101101110101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101101110131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050550555050 + 51050550555051.

It is an arithmetic number, because the mean of its divisors is an integer number (51050550555051).

Almost surely, 2^{102101101110101} is an apocalyptic number.

It is an amenable number.

102101101110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101101110101 is an equidigital number, since it uses as much as digits as its factorization.

102101101110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 102101101110101 its reverse (101011101101201), we get a palindrome (203112202211302).

The spelling of 102101101110101 in words is "one hundred two trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred one".