1011111111101 has 16 divisors (see below), whose sum is σ = 1244504352000. Its totient is φ = 799961488128.

The previous prime is 1011111111083. The next prime is 1011111111121.

1011111111101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1011111111101 - 2⁶ = 1011111111037 is a prime.

1011111111101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111111121) 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, 1713440 + ... + 2226678.

It is an arithmetic number, because the mean of its divisors is an integer number (77781522000).

Almost surely, 2^{1011111111101} is an apocalyptic number.

It is an amenable number.

1011111111101 is a deficient number, since it is larger than the sum of its proper divisors (233393240899).

1011111111101 is a wasteful number, since it uses less digits than its factorization.

1011111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534908.

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

Multiplying 1011111111101 by its sum of digits (11), we get a palindrome (11122222222111).

It can be divided in two parts, 10 and 11111111101, that added together give a palindrome (11111111111).

The spelling of 1011111111101 in words is "one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred one".