102110101001 has 2 divisors, whose sum is σ = 102110101002. Its totient is φ = 102110101000.

The previous prime is 102110100997. The next prime is 102110101003. The reversal of 102110101001 is 100101011201.

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., 83292846025 + 18817254976 = 288605^2 + 137176^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110101001 - 2² = 102110100997 is a prime.

Together with 102110101003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102110101001.

It is not a weakly prime, because it can be changed into another prime (102110101003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055050500 + 51055050501.

It is an arithmetic number, because the mean of its divisors is an integer number (51055050501).

Almost surely, 2^102110101001 is an apocalyptic number.

It is an amenable number.

102110101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110101001 is an equidigital number, since it uses as much as digits as its factorization.

102110101001 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 8.

Adding to 102110101001 its reverse (100101011201), we get a palindrome (202211112202).

The spelling of 102110101001 in words is "one hundred two billion, one hundred ten million, one hundred one thousand, one".