101111011011100 has 18 divisors (see below), whose sum is σ = 219410893894304. Its totient is φ = 40444404404400.

The previous prime is 101111011011083. The next prime is 101111011011133. The reversal of 101111011011100 is 1110110111101.

It is a happy number.

It is a super-3 number, since 3×101111011011100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505555054956 + ... + 505555055155.

Almost surely, 2^{101111011011100} is an apocalyptic number.

101111011011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111011011100 is an abundant number, since it is smaller than the sum of its proper divisors (118299882883204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111011011100 is a wasteful number, since it uses less digits than its factorization.

101111011011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011110110125 (or 1011110110118 counting only the distinct ones).

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

Adding to 101111011011100 its reverse (1110110111101), we get a palindrome (102221121122201).

The spelling of 101111011011100 in words is "one hundred one trillion, one hundred eleven billion, eleven million, eleven thousand, one hundred".