102210000122211 has 8 divisors (see below), whose sum is σ = 136437914419200. Its totient is φ = 68061042953352.

The previous prime is 102210000122183. The next prime is 102210000122303. The reversal of 102210000122211 is 112221000012201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102210000122211 - 2⁹ = 102210000121699 is a prime.

It is a super-3 number, since 3×102210000122211³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210000122611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19739279011 + ... + 19739284188.

It is an arithmetic number, because the mean of its divisors is an integer number (17054739302400).

Almost surely, 2^{102210000122211} is an apocalyptic number.

102210000122211 is a deficient number, since it is larger than the sum of its proper divisors (34227914296989).

102210000122211 is an equidigital number, since it uses as much as digits as its factorization.

102210000122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39478564065.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210000122211 its reverse (112221000012201), we get a palindrome (214431000134412).

The spelling of 102210000122211 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-two thousand, two hundred eleven".