100101011001111 has 12 divisors (see below), whose sum is σ = 149945547343592. Its totient is φ = 66734007333912.

The previous prime is 100101011001097. The next prime is 100101011001133. The reversal of 100101011001111 is 111100110101001.

It is not a de Polignac number, because 100101011001111 - 2¹⁴ = 100101010984727 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 = 100101011001093 and 100101011001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101011041111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205969158196 + ... + 205969158681.

Almost surely, 2^{100101011001111} is an apocalyptic number.

100101011001111 is a deficient number, since it is larger than the sum of its proper divisors (49844536342481).

100101011001111 is an frugal number, since it uses more digits than its factorization.

100101011001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411938316892 (or 411938316880 counting only the distinct ones).

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

Adding to 100101011001111 its reverse (111100110101001), we get a palindrome (211201121102112).

The spelling of 100101011001111 in words is "one hundred trillion, one hundred one billion, eleven million, one thousand, one hundred eleven".