10122212211111 has 192 divisors, whose sum is σ = 20168899086336. Its totient is φ = 4720896691200.

The previous prime is 10122212211077. The next prime is 10122212211119. The reversal of 10122212211111 is 11111221222101.

It is a happy number.

10122212211111 is a `hidden beast` number, since 10 + 122 + 212 + 211 + 111 = 666.

It is not a de Polignac number, because 10122212211111 - 2¹¹ = 10122212209063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122212211119) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1620328590 + ... + 1620334836.

It is an arithmetic number, because the mean of its divisors is an integer number (105046349408).

Almost surely, 2^{10122212211111} is an apocalyptic number.

10122212211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122212211111 is a deficient number, since it is larger than the sum of its proper divisors (10046686875225).

10122212211111 is a wasteful number, since it uses less digits than its factorization.

10122212211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10122212211111 its reverse (11111221222101), we get a palindrome (21233433433212).

The spelling of 10122212211111 in words is "ten trillion, one hundred twenty-two billion, two hundred twelve million, two hundred eleven thousand, one hundred eleven".