102101032011221 has 2 divisors, whose sum is σ = 102101032011222. Its totient is φ = 102101032011220.

The previous prime is 102101032011203. The next prime is 102101032011283. The reversal of 102101032011221 is 122110230101201.

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., 78245329318321 + 23855702692900 = 8845639^2 + 4884230^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101032011221 - 2³⁴ = 102083852142037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102101032011221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101032061221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050516005610 + 51050516005611.

It is an arithmetic number, because the mean of its divisors is an integer number (51050516005611).

Almost surely, 2^{102101032011221} is an apocalyptic number.

It is an amenable number.

102101032011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101032011221 is an equidigital number, since it uses as much as digits as its factorization.

102101032011221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102101032011221 its reverse (122110230101201), we get a palindrome (224211262112422).

The spelling of 102101032011221 in words is "one hundred two trillion, one hundred one billion, thirty-two million, eleven thousand, two hundred twenty-one".