10122221011111 has 16 divisors (see below), whose sum is σ = 11738688278400. Its totient is φ = 8631388404000.

The previous prime is 10122221011039. The next prime is 10122221011153. The reversal of 10122221011111 is 11111012222101.

It is a cyclic number.

It is not a de Polignac number, because 10122221011111 - 2²³ = 10122212622503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122221011811) 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 15 ways as a sum of consecutive naturals, for example, 239739681 + ... + 239781898.

It is an arithmetic number, because the mean of its divisors is an integer number (733668017400).

Almost surely, 2^{10122221011111} is an apocalyptic number.

10122221011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122221011111 is a deficient number, since it is larger than the sum of its proper divisors (1616467267289).

10122221011111 is a wasteful number, since it uses less digits than its factorization.

10122221011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479521710.

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

Adding to 10122221011111 its reverse (11111012222101), we get a palindrome (21233233233212).

It can be divided in two parts, 1012222101 and 1111, that multiplied together give a palindrome (1124578754211).

The spelling of 10122221011111 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, eleven thousand, one hundred eleven".