100210121281 has 2 divisors, whose sum is σ = 100210121282. Its totient is φ = 100210121280.

The previous prime is 100210121279. The next prime is 100210121287. The reversal of 100210121281 is 182121012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71781126400 + 28428994881 = 267920^2 + 168609^2 .

It is an emirp because it is prime and its reverse (182121012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100210121281 - 2¹ = 100210121279 is a prime.

It is a super-2 number, since 2×100210121281² (a number of 23 digits) contains 22 as substring.

Together with 100210121279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100210121287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105060640 + 50105060641.

It is an arithmetic number, because the mean of its divisors is an integer number (50105060641).

Almost surely, 2^100210121281 is an apocalyptic number.

It is an amenable number.

100210121281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210121281 is an equidigital number, since it uses as much as digits as its factorization.

100210121281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100210121281 its reverse (182121012001), we get a palindrome (282331133282).

The spelling of 100210121281 in words is "one hundred billion, two hundred ten million, one hundred twenty-one thousand, two hundred eighty-one".