10001101121111 has 8 divisors (see below), whose sum is σ = 10098336768000. Its totient is φ = 9903868120152.

The previous prime is 10001101121083. The next prime is 10001101121119. The reversal of 10001101121111 is 11112110110001.

It is a happy number.

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 10001101121111 - 2¹⁴ = 10001101104727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001101121092 and 10001101121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101121119) 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 7 ways as a sum of consecutive naturals, for example, 7411466 + ... + 8656328.

It is an arithmetic number, because the mean of its divisors is an integer number (1262292096000).

Almost surely, 2^{10001101121111} is an apocalyptic number.

10001101121111 is a deficient number, since it is larger than the sum of its proper divisors (97235646889).

10001101121111 is a wasteful number, since it uses less digits than its factorization.

10001101121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322965.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10001101121111 its reverse (11112110110001), we get a palindrome (21113211231112).

The spelling of 10001101121111 in words is "ten trillion, one billion, one hundred one million, one hundred twenty-one thousand, one hundred eleven".