102100101211 has 32 divisors (see below), whose sum is σ = 107866596096. Its totient is φ = 96546816000.

The previous prime is 102100101199. The next prime is 102100101227. The reversal of 102100101211 is 112101001201.

It is not a de Polignac number, because 102100101211 - 2¹⁷ = 102099970139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100101911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65743011 + ... + 65744563.

It is an arithmetic number, because the mean of its divisors is an integer number (3370831128).

Almost surely, 2^102100101211 is an apocalyptic number.

102100101211 is a deficient number, since it is larger than the sum of its proper divisors (5766494885).

102100101211 is a wasteful number, since it uses less digits than its factorization.

102100101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102100101211 its reverse (112101001201), we get a palindrome (214201102412).

The spelling of 102100101211 in words is "one hundred two billion, one hundred million, one hundred one thousand, two hundred eleven".