10111331122101 has 40 divisors (see below), whose sum is σ = 17447002746624. Its totient is φ = 5767604196480.

The previous prime is 10111331122097. The next prime is 10111331122121. The reversal of 10111331122101 is 10122113311101.

10111331122101 is a `hidden beast` number, since 1 + 0 + 111 + 331 + 1 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 10111331122101 - 2² = 10111331122097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111331122121) 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 39 ways as a sum of consecutive naturals, for example, 333758245 + ... + 333788538.

Almost surely, 2^{10111331122101} is an apocalyptic number.

10111331122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111331122101 is a deficient number, since it is larger than the sum of its proper divisors (7335671624523).

10111331122101 is a wasteful number, since it uses less digits than its factorization.

10111331122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667546823 (or 667546814 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10111331122101 its reverse (10122113311101), we get a palindrome (20233444433202).

The spelling of 10111331122101 in words is "ten trillion, one hundred eleven billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred one".