102121211001101 has 2 divisors, whose sum is σ = 102121211001102. Its totient is φ = 102121211001100.

The previous prime is 102121211001041. The next prime is 102121211001193. The reversal of 102121211001101 is 101100112121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91293228453001 + 10827982548100 = 9554749^2 + 3290590^2 .

It is an emirp because it is prime and its reverse (101100112121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102121211001101 - 2³⁰ = 102120137259277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102121211001001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060605500550 + 51060605500551.

It is an arithmetic number, because the mean of its divisors is an integer number (51060605500551).

Almost surely, 2^{102121211001101} is an apocalyptic number.

It is an amenable number.

102121211001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121211001101 is an equidigital number, since it uses as much as digits as its factorization.

102121211001101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102121211001101 its reverse (101100112121201), we get a palindrome (203221323122302).

The spelling of 102121211001101 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred eleven million, one thousand, one hundred one".