2001101314120 has 64 divisors (see below), whose sum is σ = 4506845151600. Its totient is φ = 799664578560.

The previous prime is 2001101314117. The next prime is 2001101314123. The reversal of 2001101314120 is 214131011002.

It is an interprime number because it is at equal distance from previous prime (2001101314117) and next prime (2001101314123).

It can be written as a sum of positive squares in 8 ways, for example, as 962671020964 + 1038430293156 = 981158^2 + 1019034^2 .

It is a super-2 number, since 2×2001101314120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001101314094 and 2001101314103.

It is not an unprimeable number, because it can be changed into a prime (2001101314123) 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, 219006192 + ... + 219015328.

Almost surely, 2^{2001101314120} is an apocalyptic number.

2001101314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001101314120 is an abundant number, since it is smaller than the sum of its proper divisors (2505743837480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001101314120 is a wasteful number, since it uses less digits than its factorization.

2001101314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13858 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2001101314120 its reverse (214131011002), we get a palindrome (2215232325122).

The spelling of 2001101314120 in words is "two trillion, one billion, one hundred one million, three hundred fourteen thousand, one hundred twenty".