10100111111111 has 8 divisors (see below), whose sum is σ = 11553603256320. Its totient is φ = 8649273748248.

The previous prime is 10100111111047. The next prime is 10100111111117. The reversal of 10100111111111 is 11111111100101.

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

It is not a de Polignac number, because 10100111111111 - 2⁶ = 10100111111047 is a prime.

It is a Duffinian number.

10100111111111 is a modest number, since divided by 1111111 gives 1010011 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10100111111092 and 10100111111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111111117) 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, 663687431 + ... + 663702648.

It is an arithmetic number, because the mean of its divisors is an integer number (1444200407040).

Almost surely, 2^{10100111111111} is an apocalyptic number.

10100111111111 is a deficient number, since it is larger than the sum of its proper divisors (1453492145209).

10100111111111 is a wasteful number, since it uses less digits than its factorization.

10100111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327391173.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10100111111111 its reverse (11111111100101), we get a palindrome (21211222211212).

The spelling of 10100111111111 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".