10106000106111 has 48 divisors (see below), whose sum is σ = 18451796044864. Its totient is φ = 5186566121472.

The previous prime is 10106000106101. The next prime is 10106000106193. The reversal of 10106000106111 is 11160100060101.

10106000106111 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 600 + 0 + 1 + 0 + 61 + 1 + 1 = 666.

It is not a de Polignac number, because 10106000106111 - 2¹⁹ = 10105999581823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106000106101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166718866 + ... + 166779471.

Almost surely, 2^{10106000106111} is an apocalyptic number.

10106000106111 is a deficient number, since it is larger than the sum of its proper divisors (8345795938753).

10106000106111 is a wasteful number, since it uses less digits than its factorization.

10106000106111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333498400 (or 333498397 counting only the distinct ones).

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

Adding to 10106000106111 its reverse (11160100060101), we get a palindrome (21266100166212).

The spelling of 10106000106111 in words is "ten trillion, one hundred six billion, one hundred six thousand, one hundred eleven".