102201011101093 has 2 divisors, whose sum is σ = 102201011101094. Its totient is φ = 102201011101092.

The previous prime is 102201011100913. The next prime is 102201011101097. The reversal of 102201011101093 is 390101110102201.

Together with previous prime (102201011100913) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96478304141569 + 5722706959524 = 9822337^2 + 2392218^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201011101093 - 2⁴¹ = 100001987845541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201011101097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100505550546 + 51100505550547.

It is an arithmetic number, because the mean of its divisors is an integer number (51100505550547).

Almost surely, 2^{102201011101093} is an apocalyptic number.

It is an amenable number.

102201011101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201011101093 is an equidigital number, since it uses as much as digits as its factorization.

102201011101093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 102201011101093 its reverse (390101110102201), we get a palindrome (492302121203294).

The spelling of 102201011101093 in words is "one hundred two trillion, two hundred one billion, eleven million, one hundred one thousand, ninety-three".