102122101211211 has 96 divisors (see below), whose sum is σ = 159863198127360. Its totient is φ = 62607686400000.

The previous prime is 102122101211159. The next prime is 102122101211257. The reversal of 102122101211211 is 112112101221201.

It is a happy number.

102122101211211 is a `hidden beast` number, since 1 + 0 + 21 + 221 + 0 + 1 + 211 + 211 = 666.

It is not a de Polignac number, because 102122101211211 - 2⁷ = 102122101211083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122101211311) 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 in 95 ways as a sum of consecutive naturals, for example, 5992720851 + ... + 5992737891.

It is an arithmetic number, because the mean of its divisors is an integer number (1665241647160).

Almost surely, 2^{102122101211211} is an apocalyptic number.

102122101211211 is a deficient number, since it is larger than the sum of its proper divisors (57741096916149).

102122101211211 is a wasteful number, since it uses less digits than its factorization.

102122101211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21369 (or 21366 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102122101211211 its reverse (112112101221201), we get a palindrome (214234202432412).

The spelling of 102122101211211 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred one million, two hundred eleven thousand, two hundred eleven".