10222211122211 has 16 divisors (see below), whose sum is σ = 11297440895328. Its totient is φ = 9171884832000.

The previous prime is 10222211122199. The next prime is 10222211122241. The reversal of 10222211122211 is 11222111222201.

It is not a de Polignac number, because 10222211122211 - 2⁶ = 10222211122147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222211122241) 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, 14160290 + ... + 14864663.

It is an arithmetic number, because the mean of its divisors is an integer number (706090055958).

Almost surely, 2^{10222211122211} is an apocalyptic number.

10222211122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10222211122211 is a deficient number, since it is larger than the sum of its proper divisors (1075229773117).

10222211122211 is a wasteful number, since it uses less digits than its factorization.

10222211122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29025382.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10222211122211 its reverse (11222111222201), we get a palindrome (21444322344412).

The spelling of 10222211122211 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twenty-two thousand, two hundred eleven".