10122110220211 has 32 divisors (see below), whose sum is σ = 11721441312000. Its totient is φ = 8644332401280.

The previous prime is 10122110220149. The next prime is 10122110220223. The reversal of 10122110220211 is 11202201122101.

It is a cyclic number.

It is not a de Polignac number, because 10122110220211 - 2¹⁵ = 10122110187443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122110220251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18002901 + ... + 18556633.

It is an arithmetic number, because the mean of its divisors is an integer number (366295041000).

Almost surely, 2^{10122110220211} is an apocalyptic number.

10122110220211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122110220211 is a deficient number, since it is larger than the sum of its proper divisors (1599331091789).

10122110220211 is a wasteful number, since it uses less digits than its factorization.

10122110220211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554499.

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

Adding to 10122110220211 its reverse (11202201122101), we get a palindrome (21324311342312).

The spelling of 10122110220211 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty thousand, two hundred eleven".