10000111112101 has 24 divisors (see below), whose sum is σ = 11577151303200. Its totient is φ = 8607492986400.

The previous prime is 10000111112059. The next prime is 10000111112107. The reversal of 10000111112101 is 10121111100001.

It is not a de Polignac number, because 10000111112101 - 2¹¹ = 10000111110053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000111112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2656386 + ... + 5201596.

It is an arithmetic number, because the mean of its divisors is an integer number (482381304300).

Almost surely, 2^{10000111112101} is an apocalyptic number.

10000111112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000111112101 is a deficient number, since it is larger than the sum of its proper divisors (1577040191099).

10000111112101 is a wasteful number, since it uses less digits than its factorization.

10000111112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546961 (or 2546950 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10000111112101 its reverse (10121111100001), we get a palindrome (20121222212102).

It can be divided in two parts, 1000011 and 1112101, that added together give a palindrome (2112112).

The spelling of 10000111112101 in words is "ten trillion, one hundred eleven million, one hundred twelve thousand, one hundred one".