102010101132221 has 2 divisors, whose sum is σ = 102010101132222. Its totient is φ = 102010101132220.

The previous prime is 102010101132217. The next prime is 102010101132241. The reversal of 102010101132221 is 122231101010201.

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., 97082811069721 + 4927290062500 = 9853061^2 + 2219750^2 .

It is an emirp because it is prime and its reverse (122231101010201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102010101132221 - 2² = 102010101132217 is a prime.

It is a super-2 number, since 2×102010101132221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102010101132221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102010101132241) 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, 51005050566110 + 51005050566111.

It is an arithmetic number, because the mean of its divisors is an integer number (51005050566111).

Almost surely, 2^{102010101132221} is an apocalyptic number.

It is an amenable number.

102010101132221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010101132221 is an equidigital number, since it uses as much as digits as its factorization.

102010101132221 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 102010101132221 its reverse (122231101010201), we get a palindrome (224241202142422).

The spelling of 102010101132221 in words is "one hundred two trillion, ten billion, one hundred one million, one hundred thirty-two thousand, two hundred twenty-one".