102200212000211 has 16 divisors (see below), whose sum is σ = 116668265511168. Its totient is φ = 88688541849600.

The previous prime is 102200212000181. The next prime is 102200212000303. The reversal of 102200212000211 is 112000212002201.

It is a cyclic number.

It is not a de Polignac number, because 102200212000211 - 2¹⁴ = 102200211983827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102200212000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262259555 + ... + 262648956.

It is an arithmetic number, because the mean of its divisors is an integer number (7291766594448).

Almost surely, 2^{102200212000211} is an apocalyptic number.

102200212000211 is a deficient number, since it is larger than the sum of its proper divisors (14468053510957).

102200212000211 is a wasteful number, since it uses less digits than its factorization.

102200212000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524909422.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102200212000211 its reverse (112000212002201), we get a palindrome (214200424002412).

The spelling of 102200212000211 in words is "one hundred two trillion, two hundred billion, two hundred twelve million, two hundred eleven", and thus it is an aban number.