102110001122321 has 2 divisors, whose sum is σ = 102110001122322. Its totient is φ = 102110001122320.

The previous prime is 102110001122287. The next prime is 102110001122359. The reversal of 102110001122321 is 123221100011201.

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., 91844641440721 + 10265359681600 = 9583561^2 + 3203960^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110001122321 - 2²⁶ = 102109934013457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102110001122321.

It is not a weakly prime, because it can be changed into another prime (102110001122621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055000561160 + 51055000561161.

It is an arithmetic number, because the mean of its divisors is an integer number (51055000561161).

Almost surely, 2^{102110001122321} is an apocalyptic number.

It is an amenable number.

102110001122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110001122321 is an equidigital number, since it uses as much as digits as its factorization.

102110001122321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102110001122321 its reverse (123221100011201), we get a palindrome (225331101133522).

The spelling of 102110001122321 in words is "one hundred two trillion, one hundred ten billion, one million, one hundred twenty-two thousand, three hundred twenty-one".