10122100011111 has 64 divisors (see below), whose sum is σ = 15239069429760. Its totient is φ = 5922926634240.

The previous prime is 10122100011077. The next prime is 10122100011137. The reversal of 10122100011111 is 11111000122101.

10122100011111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122100011111 - 2¹⁸ = 10122099748967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122100011161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546451896 + ... + 546470418.

It is an arithmetic number, because the mean of its divisors is an integer number (238110459840).

Almost surely, 2^{10122100011111} is an apocalyptic number.

10122100011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122100011111 is a deficient number, since it is larger than the sum of its proper divisors (5116969418649).

10122100011111 is a wasteful number, since it uses less digits than its factorization.

10122100011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22996.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10122100011111 its reverse (11111000122101), we get a palindrome (21233100133212).

The spelling of 10122100011111 in words is "ten trillion, one hundred twenty-two billion, one hundred million, eleven thousand, one hundred eleven".