1001114623201 has 16 divisors (see below), whose sum is σ = 1248178710528. Its totient is φ = 780066939600.

The previous prime is 1001114623183. The next prime is 1001114623207. The reversal of 1001114623201 is 1023264111001.

1001114623201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001114623201 - 2¹⁵ = 1001114590433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001114623207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2830056 + ... + 3164086.

It is an arithmetic number, because the mean of its divisors is an integer number (78011169408).

Almost surely, 2^{1001114623201} is an apocalyptic number.

1001114623201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001114623201 is a deficient number, since it is larger than the sum of its proper divisors (247064087327).

1001114623201 is a wasteful number, since it uses less digits than its factorization.

1001114623201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372972.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1001114623201 its reverse (1023264111001), we get a palindrome (2024378734202).

The spelling of 1001114623201 in words is "one trillion, one billion, one hundred fourteen million, six hundred twenty-three thousand, two hundred one".