111001010100001 has 8 divisors (see below), whose sum is σ = 134320550037120. Its totient is φ = 89547033357888.

The previous prime is 111001010099983. The next prime is 111001010100007. The reversal of 111001010100001 is 100001010100111.

It is a happy number.

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

It is not a de Polignac number, because 111001010100001 - 2¹⁷ = 111001009968929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111001010100007) 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, 466390798621 + ... + 466390798858.

It is an arithmetic number, because the mean of its divisors is an integer number (16790068754640).

Almost surely, 2^{111001010100001} is an apocalyptic number.

It is an amenable number.

111001010100001 is a deficient number, since it is larger than the sum of its proper divisors (23319539937119).

111001010100001 is an equidigital number, since it uses as much as digits as its factorization.

111001010100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932781597503.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111001010100001 its reverse (100001010100111), we get a palindrome (211002020200112).

The spelling of 111001010100001 in words is "one hundred eleven trillion, one billion, ten million, one hundred thousand, one".