10000001101111 has 16 divisors (see below), whose sum is σ = 11797468088320. Its totient is φ = 8294768828640.

The previous prime is 10000001101043. The next prime is 10000001101169. The reversal of 10000001101111 is 11110110000001.

It is a happy number.

It is not a de Polignac number, because 10000001101111 - 2⁷ = 10000001100983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10000001101094 and 10000001101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001101411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11322565 + ... + 12173761.

It is an arithmetic number, because the mean of its divisors is an integer number (737341755520).

Almost surely, 2^{10000001101111} is an apocalyptic number.

10000001101111 is a deficient number, since it is larger than the sum of its proper divisors (1797466987209).

10000001101111 is an equidigital number, since it uses as much as digits as its factorization.

10000001101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905374.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10000001101111 its reverse (11110110000001), we get a palindrome (21110111101112).

The spelling of 10000001101111 in words is "ten trillion, one million, one hundred one thousand, one hundred eleven".