10102221102211 has 32 divisors (see below), whose sum is σ = 11697300725760. Its totient is φ = 8545687920000.

The previous prime is 10102221102191. The next prime is 10102221102271. The reversal of 10102221102211 is 11220112220101.

It is not a de Polignac number, because 10102221102211 - 2⁵ = 10102221102179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102221102271) 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 31 ways as a sum of consecutive naturals, for example, 1020318361 + ... + 1020328261.

It is an arithmetic number, because the mean of its divisors is an integer number (365540647680).

Almost surely, 2^{10102221102211} is an apocalyptic number.

10102221102211 is a deficient number, since it is larger than the sum of its proper divisors (1595079623549).

10102221102211 is a wasteful number, since it uses less digits than its factorization.

10102221102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14515.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10102221102211 its reverse (11220112220101), we get a palindrome (21322333322312).

The spelling of 10102221102211 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, one hundred two thousand, two hundred eleven".