100101001101111 has 48 divisors (see below), whose sum is σ = 152306221822560. Its totient is φ = 63260684847360.

The previous prime is 100101001100977. The next prime is 100101001101133. The reversal of 100101001101111 is 111101100101001.

It is not a de Polignac number, because 100101001101111 - 2¹³ = 100101001092919 is a prime.

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

100101001101111 is a modest number, since divided by 1101111 gives 1001010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100101001101093 and 100101001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101001106111) 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, 2961661 + ... + 14455913.

It is an arithmetic number, because the mean of its divisors is an integer number (3173046287970).

Almost surely, 2^{100101001101111} is an apocalyptic number.

100101001101111 is a deficient number, since it is larger than the sum of its proper divisors (52205220721449).

100101001101111 is a wasteful number, since it uses less digits than its factorization.

100101001101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11494896 (or 11494893 counting only the distinct ones).

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

Adding to 100101001101111 its reverse (111101100101001), we get a palindrome (211202101202112).

The spelling of 100101001101111 in words is "one hundred trillion, one hundred one billion, one million, one hundred one thousand, one hundred eleven".