10011110120001 has 12 divisors (see below), whose sum is σ = 14813187332580. Its totient is φ = 6511291134720.

The previous prime is 10011110119991. The next prime is 10011110120021. The reversal of 10011110120001 is 10002101111001.

It can be written as a sum of positive squares in 2 ways, for example, as 2130289121601 + 7880820998400 = 1459551^2 + 2807280^2 .

It is not a de Polignac number, because 10011110120001 - 2⁷ = 10011110119873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10011110120021) 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 11 ways as a sum of consecutive naturals, for example, 13565189496 + ... + 13565190233.

It is an arithmetic number, because the mean of its divisors is an integer number (1234432277715).

Almost surely, 2^{10011110120001} is an apocalyptic number.

It is an amenable number.

10011110120001 is a deficient number, since it is larger than the sum of its proper divisors (4802077212579).

10011110120001 is a wasteful number, since it uses less digits than its factorization.

10011110120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27130379776 (or 27130379773 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011110120001 its reverse (10002101111001), we get a palindrome (20013211231002).

The spelling of 10011110120001 in words is "ten trillion, eleven billion, one hundred ten million, one hundred twenty thousand, one".