101111100100011 has 48 divisors (see below), whose sum is σ = 161306658589440. Its totient is φ = 60745659670080.

The previous prime is 101111100099941. The next prime is 101111100100079. The reversal of 101111100100011 is 110001001111101.

It is not a de Polignac number, because 101111100100011 - 2¹¹ = 101111100097963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111100099966 and 101111100100002.

It is not an unprimeable number, because it can be changed into a prime (101111100102011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70305781 + ... + 71729526.

It is an arithmetic number, because the mean of its divisors is an integer number (3360555387280).

Almost surely, 2^{101111100100011} is an apocalyptic number.

101111100100011 is a deficient number, since it is larger than the sum of its proper divisors (60195558489429).

101111100100011 is a wasteful number, since it uses less digits than its factorization.

101111100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142035536 (or 142035533 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111100100011 its reverse (110001001111101), we get a palindrome (211112101211112).

The spelling of 101111100100011 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, one hundred thousand, eleven".