10120011100111 has 8 divisors (see below), whose sum is σ = 11041378375248. Its totient is φ = 9198871536000.

The previous prime is 10120011100049. The next prime is 10120011100181. The reversal of 10120011100111 is 11100111002101.

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 10120011100111 - 2¹⁷ = 10120010969039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120011100181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56834820 + ... + 57012601.

It is an arithmetic number, because the mean of its divisors is an integer number (1380172296906).

Almost surely, 2^{10120011100111} is an apocalyptic number.

10120011100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120011100111 is a deficient number, since it is larger than the sum of its proper divisors (921367275137).

10120011100111 is a wasteful number, since it uses less digits than its factorization.

10120011100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113855513.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10120011100111 its reverse (11100111002101), we get a palindrome (21220122102212).

It can be divided in two parts, 1012001 and 1100111, that added together give a palindrome (2112112).

The spelling of 10120011100111 in words is "ten trillion, one hundred twenty billion, eleven million, one hundred thousand, one hundred eleven".