102111002001121 has 2 divisors, whose sum is σ = 102111002001122. Its totient is φ = 102111002001120.

The previous prime is 102111002001103. The next prime is 102111002001193. The reversal of 102111002001121 is 121100200111201.

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., 101670518912400 + 440483088721 = 10083180^2 + 663689^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111002001121 - 2¹³ = 102111001992929 is a prime.

It is not a weakly prime, because it can be changed into another prime (102111002008121) 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, 51055501000560 + 51055501000561.

It is an arithmetic number, because the mean of its divisors is an integer number (51055501000561).

Almost surely, 2^{102111002001121} is an apocalyptic number.

It is an amenable number.

102111002001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111002001121 is an equidigital number, since it uses as much as digits as its factorization.

102111002001121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102111002001121 its reverse (121100200111201), we get a palindrome (223211202112322).

The spelling of 102111002001121 in words is "one hundred two trillion, one hundred eleven billion, two million, one thousand, one hundred twenty-one".