100101101001111 has 24 divisors (see below), whose sum is σ = 172430882058240. Its totient is φ = 54713645266896.

The previous prime is 100101101001073. The next prime is 100101101001131. The reversal of 100101101001111 is 111100101101001.

It is not a de Polignac number, because 100101101001111 - 2¹⁴ = 100101100984727 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 = 100101101001093 and 100101101001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101001131) 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, 34541441271 + ... + 34541444168.

It is an arithmetic number, because the mean of its divisors is an integer number (7184620085760).

Almost surely, 2^{100101101001111} is an apocalyptic number.

100101101001111 is a deficient number, since it is larger than the sum of its proper divisors (72329781057129).

100101101001111 is a wasteful number, since it uses less digits than its factorization.

100101101001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69082885475 (or 69082885472 counting only the distinct ones).

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

Adding to 100101101001111 its reverse (111100101101001), we get a palindrome (211201202102112).

It can be divided in two parts, 100101101001 and 111, that multiplied together give a palindrome (11111222211111).

The spelling of 100101101001111 in words is "one hundred trillion, one hundred one billion, one hundred one million, one thousand, one hundred eleven".