1011111101101 has 8 divisors (see below), whose sum is σ = 1021262138208. Its totient is φ = 1000962810000.

The previous prime is 1011111101069. The next prime is 1011111101107. The reversal of 1011111101101 is 1011011111101.

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 1011111101101 - 2⁵ = 1011111101069 is a prime.

It is a super-3 number, since 3×1011111101101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011111101107) 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, 57646 + ... + 1423216.

It is an arithmetic number, because the mean of its divisors is an integer number (127657767276).

Almost surely, 2^{1011111101101} is an apocalyptic number.

It is an amenable number.

1011111101101 is a deficient number, since it is larger than the sum of its proper divisors (10151037107).

1011111101101 is a wasteful number, since it uses less digits than its factorization.

1011111101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373003.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1011111101101 its reverse (1011011111101), we get a palindrome (2022122212202).

It can be divided in two parts, 1011111101 and 101, that multiplied together give a palindrome (102122221201).

The spelling of 1011111101101 in words is "one trillion, eleven billion, one hundred eleven million, one hundred one thousand, one hundred one".