10116444461101 has 8 divisors (see below), whose sum is σ = 11036172405024. Its totient is φ = 9196725046320.

The previous prime is 10116444461093. The next prime is 10116444461113.

10116444461101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10116444461101 - 2³ = 10116444461093 is a prime.

It is a super-2 number, since 2×10116444461101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116444461401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487731 + ... + 4524463.

It is an arithmetic number, because the mean of its divisors is an integer number (1379521550628).

Almost surely, 2^{10116444461101} is an apocalyptic number.

10116444461101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10116444461101 is a deficient number, since it is larger than the sum of its proper divisors (919727943923).

10116444461101 is a wasteful number, since it uses less digits than its factorization.

10116444461101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264571.

The product of its (nonzero) digits is 9216, while the sum is 34.

It can be divided in two parts, 1011644 and 4461101, that added together give a palindrome (5472745).

The spelling of 10116444461101 in words is "ten trillion, one hundred sixteen billion, four hundred forty-four million, four hundred sixty-one thousand, one hundred one".