10001001012111 has 16 divisors (see below), whose sum is σ = 15687844725600. Its totient is φ = 6275137889664.

The previous prime is 10001001012071. The next prime is 10001001012139. The reversal of 10001001012111 is 11121010010001.

It is not a de Polignac number, because 10001001012111 - 2³⁴ = 9983821142927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001001012093 and 10001001012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001012511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10894336156 + ... + 10894337073.

It is an arithmetic number, because the mean of its divisors is an integer number (980490295350).

Almost surely, 2^{10001001012111} is an apocalyptic number.

10001001012111 is a deficient number, since it is larger than the sum of its proper divisors (5686843713489).

10001001012111 is a wasteful number, since it uses less digits than its factorization.

10001001012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21788673255 (or 21788673249 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001001012111 its reverse (11121010010001), we get a palindrome (21122011022112).

The spelling of 10001001012111 in words is "ten trillion, one billion, one million, twelve thousand, one hundred eleven".