102121212011101 has 2 divisors, whose sum is σ = 102121212011102. Its totient is φ = 102121212011100.

The previous prime is 102121212011087. The next prime is 102121212011123. The reversal of 102121212011101 is 101110212121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96019813060900 + 6101398950201 = 9798970^2 + 2470101^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121212011101 - 2⁷ = 102121212010973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102121212011501) 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, 51060606005550 + 51060606005551.

It is an arithmetic number, because the mean of its divisors is an integer number (51060606005551).

Almost surely, 2^{102121212011101} is an apocalyptic number.

It is an amenable number.

102121212011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121212011101 is an equidigital number, since it uses as much as digits as its factorization.

102121212011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 102121212011101 its reverse (101110212121201), we get a palindrome (203231424132302).

The spelling of 102121212011101 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twelve million, eleven thousand, one hundred one".