1110006010101 has 32 divisors (see below), whose sum is σ = 1490743296000. Its totient is φ = 734656970880.

The previous prime is 1110006010073. The next prime is 1110006010123. The reversal of 1110006010101 is 1010106000111.

It is not a de Polignac number, because 1110006010101 - 2¹¹ = 1110006008053 is a prime.

It is a super-2 number, since 2×1110006010101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110006030101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849277090 + ... + 849278396.

It is an arithmetic number, because the mean of its divisors is an integer number (46585728000).

Almost surely, 2^{1110006010101} is an apocalyptic number.

It is an amenable number.

1110006010101 is a deficient number, since it is larger than the sum of its proper divisors (380737285899).

1110006010101 is a wasteful number, since it uses less digits than its factorization.

1110006010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849.

The product of its (nonzero) digits is 6, while the sum is 12.

The spelling of 1110006010101 in words is "one trillion, one hundred ten billion, six million, ten thousand, one hundred one".