100111111000001 has 8 divisors (see below), whose sum is σ = 106171798920840. Its totient is φ = 94069511861248.

The previous prime is 100111110999983. The next prime is 100111111000007. The reversal of 100111111000001 is 100000111111001.

It can be written as a sum of positive squares in 4 ways, for example, as 29820325718401 + 70290785281600 = 5460799^2 + 8383960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111111000001 - 2¹⁸ = 100111110737857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111111000007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4772184716 + ... + 4772205693.

It is an arithmetic number, because the mean of its divisors is an integer number (13271474865105).

Almost surely, 2^{100111111000001} is an apocalyptic number.

It is an amenable number.

100111111000001 is a deficient number, since it is larger than the sum of its proper divisors (6060687920839).

100111111000001 is an equidigital number, since it uses as much as digits as its factorization.

100111111000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9544391043.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111111000001 its reverse (100000111111001), we get a palindrome (200111222111002).

The spelling of 100111111000001 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one", and thus it is an aban number.