10114022041101 has 24 divisors (see below), whose sum is σ = 15937808618784. Its totient is φ = 6129494264160.

The previous prime is 10114022041093. The next prime is 10114022041117.

10114022041101 is a `hidden beast` number, since 101 + 1 + 402 + 20 + 41 + 101 = 666.

10114022041101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10114022041101 - 2³ = 10114022041093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114022043101) 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, 1044870 + ... + 4617336.

It is an arithmetic number, because the mean of its divisors is an integer number (664075359116).

Almost surely, 2^{10114022041101} is an apocalyptic number.

10114022041101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10114022041101 is a deficient number, since it is larger than the sum of its proper divisors (5823786577683).

10114022041101 is a wasteful number, since it uses less digits than its factorization.

10114022041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601081 (or 3601078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1011402 and 2041101, that added together give a palindrome (3052503).

The spelling of 10114022041101 in words is "ten trillion, one hundred fourteen billion, twenty-two million, forty-one thousand, one hundred one".