102205006211 has 64 divisors (see below), whose sum is σ = 134338176000. Its totient is φ = 75437376000.

The previous prime is 102205006199. The next prime is 102205006223. The reversal of 102205006211 is 112600502201.

It is an interprime number because it is at equal distance from previous prime (102205006199) and next prime (102205006223).

It is not a de Polignac number, because 102205006211 - 2¹⁴ = 102204989827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102205006231) 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 63 ways as a sum of consecutive naturals, for example, 27613661 + ... + 27617361.

It is an arithmetic number, because the mean of its divisors is an integer number (2099034000).

Almost surely, 2^102205006211 is an apocalyptic number.

102205006211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102205006211 is a deficient number, since it is larger than the sum of its proper divisors (32133169789).

102205006211 is a wasteful number, since it uses less digits than its factorization.

102205006211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 102205006211 its reverse (112600502201), we get a palindrome (214805508412).

The spelling of 102205006211 in words is "one hundred two billion, two hundred five million, six thousand, two hundred eleven".