100111011011001 has 12 divisors (see below), whose sum is σ = 144604881475860. Its totient is φ = 66740633487360.

The previous prime is 100111011010987. The next prime is 100111011011057. The reversal of 100111011011001 is 100110110111001.

It can be written as a sum of positive squares in 2 ways, for example, as 21059618533776 + 79051392477225 = 4589076^2 + 8891085^2 .

It is not a de Polignac number, because 100111011011001 - 2²⁷ = 100110876793273 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100111011011201) 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, 23688921 + ... + 27593241.

It is an arithmetic number, because the mean of its divisors is an integer number (12050406789655).

Almost surely, 2^{100111011011001} is an apocalyptic number.

It is an amenable number.

100111011011001 is a deficient number, since it is larger than the sum of its proper divisors (44493870464859).

100111011011001 is a wasteful number, since it uses less digits than its factorization.

100111011011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753336 (or 6753333 counting only the distinct ones).

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

Adding to 100111011011001 its reverse (100110110111001), we get a palindrome (200221121122002).

The spelling of 100111011011001 in words is "one hundred trillion, one hundred eleven billion, eleven million, eleven thousand, one".