100111011000093 has 6 divisors (see below), whose sum is σ = 144604793666814. Its totient is φ = 66740674000056.

The previous prime is 100111011000083. The next prime is 100111011000137. The reversal of 100111011000093 is 390000110111001.

It can be written as a sum of positive squares in only one way, i.e., 66861971624889 + 33249039375204 = 8176917^2 + 5766198^2 .

It is not a de Polignac number, because 100111011000093 - 2⁹ = 100111010999581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011000043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561722833330 + ... + 5561722833347.

It is an arithmetic number, because the mean of its divisors is an integer number (24100798944469).

Almost surely, 2^{100111011000093} is an apocalyptic number.

It is an amenable number.

100111011000093 is a deficient number, since it is larger than the sum of its proper divisors (44493782666721).

100111011000093 is a wasteful number, since it uses less digits than its factorization.

100111011000093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123445666683 (or 11123445666680 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 18.

Adding to 100111011000093 its reverse (390000110111001), we get a palindrome (490111121111094).

The spelling of 100111011000093 in words is "one hundred trillion, one hundred eleven billion, eleven million, ninety-three", and thus it is an aban number.