102100002221211 has 16 divisors (see below), whose sum is σ = 142053168911616. Its totient is φ = 65106793168736.

The previous prime is 102100002221209. The next prime is 102100002221213. The reversal of 102100002221211 is 112122200001201.

It is an interprime number because it is at equal distance from previous prime (102100002221209) and next prime (102100002221213).

It is a cyclic number.

It is not a de Polignac number, because 102100002221211 - 2¹ = 102100002221209 is a prime.

It is a super-3 number, since 3×102100002221211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102100002221213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4928896 + ... + 15116018.

It is an arithmetic number, because the mean of its divisors is an integer number (8878323056976).

Almost surely, 2^{102100002221211} is an apocalyptic number.

102100002221211 is a deficient number, since it is larger than the sum of its proper divisors (39953166690405).

102100002221211 is a wasteful number, since it uses less digits than its factorization.

102100002221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332402.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102100002221211 its reverse (112122200001201), we get a palindrome (214222202222412).

The spelling of 102100002221211 in words is "one hundred two trillion, one hundred billion, two million, two hundred twenty-one thousand, two hundred eleven".