10006101006111 has 24 divisors (see below), whose sum is σ = 16518149500320. Its totient is φ = 5717723026176.

The previous prime is 10006101006107. The next prime is 10006101006149. The reversal of 10006101006111 is 11160010160001.

10006101006111 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 10006101006111 - 2² = 10006101006107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006101006511) 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, 7509291 + ... + 8740803.

It is an arithmetic number, because the mean of its divisors is an integer number (688256229180).

Almost surely, 2^{10006101006111} is an apocalyptic number.

10006101006111 is a deficient number, since it is larger than the sum of its proper divisors (6512048494209).

10006101006111 is a wasteful number, since it uses less digits than its factorization.

10006101006111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360495 (or 1360492 counting only the distinct ones).

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

Adding to 10006101006111 its reverse (11160010160001), we get a palindrome (21166111166112).

The spelling of 10006101006111 in words is "ten trillion, six billion, one hundred one million, six thousand, one hundred eleven".