102110001122401 has 2 divisors, whose sum is σ = 102110001122402. Its totient is φ = 102110001122400.

The previous prime is 102110001122387. The next prime is 102110001122417. The reversal of 102110001122401 is 104221100011201.

It is an a-pointer prime, because the next prime (102110001122417) can be obtained adding 102110001122401 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58550793118801 + 43559208003600 = 7651849^2 + 6599940^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110001122401 - 2¹¹ = 102110001120353 is a prime.

It is not a weakly prime, because it can be changed into another prime (102110001522401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055000561200 + 51055000561201.

It is an arithmetic number, because the mean of its divisors is an integer number (51055000561201).

Almost surely, 2^{102110001122401} is an apocalyptic number.

It is an amenable number.

102110001122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110001122401 is an equidigital number, since it uses as much as digits as its factorization.

102110001122401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102110001122401 its reverse (104221100011201), we get a palindrome (206331101133602).

The spelling of 102110001122401 in words is "one hundred two trillion, one hundred ten billion, one million, one hundred twenty-two thousand, four hundred one".