102001221090929 has 2 divisors, whose sum is σ = 102001221090930. Its totient is φ = 102001221090928.

The previous prime is 102001221090919. The next prime is 102001221090953. The reversal of 102001221090929 is 929090122100201.

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., 86348697760000 + 15652523330929 = 9292400^2 + 3956327^2 .

It is an emirp because it is prime and its reverse (929090122100201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102001221090929 - 2²⁴ = 102001204313713 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102001221090892 and 102001221090901.

It is not a weakly prime, because it can be changed into another prime (102001221090919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000610545464 + 51000610545465.

It is an arithmetic number, because the mean of its divisors is an integer number (51000610545465).

Almost surely, 2^{102001221090929} is an apocalyptic number.

It is an amenable number.

102001221090929 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001221090929 is an equidigital number, since it uses as much as digits as its factorization.

102001221090929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 102001221090929 in words is "one hundred two trillion, one billion, two hundred twenty-one million, ninety thousand, nine hundred twenty-nine".