102100002211 has 16 divisors (see below), whose sum is σ = 109209098880. Its totient is φ = 95114060800.

The previous prime is 102100002181. The next prime is 102100002217. The reversal of 102100002211 is 112200001201.

It is a cyclic number.

It is not a de Polignac number, because 102100002211 - 2¹³ = 102099994019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100002217) 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 15 ways as a sum of consecutive naturals, for example, 7563510 + ... + 7576996.

It is an arithmetic number, because the mean of its divisors is an integer number (6825568680).

Almost surely, 2^102100002211 is an apocalyptic number.

102100002211 is a deficient number, since it is larger than the sum of its proper divisors (7109096669).

102100002211 is a wasteful number, since it uses less digits than its factorization.

102100002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18014.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100002211 its reverse (112200001201), we get a palindrome (214300003412).

The spelling of 102100002211 in words is "one hundred two billion, one hundred million, two thousand, two hundred eleven".