100110011001111 has 24 divisors (see below), whose sum is σ = 148512280242560. Its totient is φ = 64935903116736.

The previous prime is 100110011001107. The next prime is 100110011001157. The reversal of 100110011001111 is 111100110011001.

It is not a de Polignac number, because 100110011001111 - 2² = 100110011001107 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110011001093 and 100110011001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011001101) 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, 80103450 + ... + 81343608.

Almost surely, 2^{100110011001111} is an apocalyptic number.

100110011001111 is a deficient number, since it is larger than the sum of its proper divisors (48402269241449).

100110011001111 is a wasteful number, since it uses less digits than its factorization.

100110011001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482615 (or 1482612 counting only the distinct ones).

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

Adding to 100110011001111 its reverse (111100110011001), we get a palindrome (211210121012112).

It can be divided in two parts, 100110011001 and 111, that multiplied together give a palindrome (11112211221111).

The spelling of 100110011001111 in words is "one hundred trillion, one hundred ten billion, eleven million, one thousand, one hundred eleven".