101111110100011 has 24 divisors (see below), whose sum is σ = 111377981839040. Its totient is φ = 91721413784880.

The previous prime is 101111110100009. The next prime is 101111110100029. The reversal of 101111110100011 is 110001011111101.

It is a happy number.

It is not a de Polignac number, because 101111110100011 - 2¹ = 101111110100009 is a prime.

It is a super-3 number, since 3×101111110100011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111110100711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139474900 + ... + 140197966.

Almost surely, 2^{101111110100011} is an apocalyptic number.

101111110100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111110100011 is a deficient number, since it is larger than the sum of its proper divisors (10266871739029).

101111110100011 is a wasteful number, since it uses less digits than its factorization.

101111110100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725575 (or 725564 counting only the distinct ones).

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

Adding to 101111110100011 its reverse (110001011111101), we get a palindrome (211112121211112).

The spelling of 101111110100011 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, eleven".