10000122100111 has 72 divisors (see below), whose sum is σ = 12133219313040. Its totient is φ = 8230105128960.

The previous prime is 10000122100051. The next prime is 10000122100121. The reversal of 10000122100111 is 11100122100001.

It is not a de Polignac number, because 10000122100111 - 2¹¹ = 10000122098063 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 (10000122100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313733071 + ... + 313764943.

Almost surely, 2^{10000122100111} is an apocalyptic number.

10000122100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000122100111 is a deficient number, since it is larger than the sum of its proper divisors (2133097212929).

10000122100111 is a wasteful number, since it uses less digits than its factorization.

10000122100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32217 (or 32193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000122100111 its reverse (11100122100001), we get a palindrome (21100244200112).

The spelling of 10000122100111 in words is "ten trillion, one hundred twenty-two million, one hundred thousand, one hundred eleven".