102001122801101 has 2 divisors, whose sum is σ = 102001122801102. Its totient is φ = 102001122801100.

The previous prime is 102001122801079. The next prime is 102001122801119. The reversal of 102001122801101 is 101108221100201.

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., 55044380256100 + 46956742545001 = 7419190^2 + 6852499^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001122801101 - 2²² = 102001118606797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001122801191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000561400550 + 51000561400551.

It is an arithmetic number, because the mean of its divisors is an integer number (51000561400551).

Almost surely, 2^{102001122801101} is an apocalyptic number.

It is an amenable number.

102001122801101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001122801101 is an equidigital number, since it uses as much as digits as its factorization.

102001122801101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 102001122801101 its reverse (101108221100201), we get a palindrome (203109343901302).

The spelling of 102001122801101 in words is "one hundred two trillion, one billion, one hundred twenty-two million, eight hundred one thousand, one hundred one".