1001120112101 has 8 divisors (see below), whose sum is σ = 1002605175000. Its totient is φ = 999635212800.

The previous prime is 1001120112089. The next prime is 1001120112127. The reversal of 1001120112101 is 1012110211001.

It can be written as a sum of positive squares in 4 ways, for example, as 123657019201 + 877463092900 = 351649^2 + 936730^2 .

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 1001120112101 - 2¹⁸ = 1001119849957 is a prime.

It is a super-3 number, since 3×1001120112101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001120112401) 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, 18092525 + ... + 18147773.

It is an arithmetic number, because the mean of its divisors is an integer number (125325646875).

Almost surely, 2^{1001120112101} is an apocalyptic number.

It is an amenable number.

1001120112101 is a deficient number, since it is larger than the sum of its proper divisors (1485062899).

1001120112101 is an equidigital number, since it uses as much as digits as its factorization.

1001120112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81799.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001120112101 its reverse (1012110211001), we get a palindrome (2013230323102).

The spelling of 1001120112101 in words is "one trillion, one billion, one hundred twenty million, one hundred twelve thousand, one hundred one".