102001121111093 has 2 divisors, whose sum is σ = 102001121111094. Its totient is φ = 102001121111092.

The previous prime is 102001121111083. The next prime is 102001121111129. The reversal of 102001121111093 is 390111121100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101801198556964 + 199922554129 = 10089658^2 + 447127^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001121111093 - 2³⁴ = 101983941241909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001121111023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000560555546 + 51000560555547.

It is an arithmetic number, because the mean of its divisors is an integer number (51000560555547).

Almost surely, 2^{102001121111093} is an apocalyptic number.

It is an amenable number.

102001121111093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001121111093 is an equidigital number, since it uses as much as digits as its factorization.

102001121111093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 23.

Adding to 102001121111093 its reverse (390111121100201), we get a palindrome (492112242211294).

The spelling of 102001121111093 in words is "one hundred two trillion, one billion, one hundred twenty-one million, one hundred eleven thousand, ninety-three".