2001100350420 has 72 divisors (see below), whose sum is σ = 6218053306920. Its totient is φ = 520611471360.

The previous prime is 2001100350413. The next prime is 2001100350439. The reversal of 2001100350420 is 240530011002.

2001100350420 is a `hidden beast` number, since 200 + 1 + 10 + 0 + 35 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18507204 + 2001081843216 = 4302^2 + 1414596^2 .

It is a super-2 number, since 2×2001100350420² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2001100350393 and 2001100350402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135568525 + ... + 135583284.

It is an arithmetic number, because the mean of its divisors is an integer number (86361851485).

Almost surely, 2^{2001100350420} is an apocalyptic number.

2001100350420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001100350420 is an abundant number, since it is smaller than the sum of its proper divisors (4216952956500).

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

2001100350420 is a wasteful number, since it uses less digits than its factorization.

2001100350420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271151865 (or 271151860 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 2001100350420 its reverse (240530011002), we get a palindrome (2241630361422).

The spelling of 2001100350420 in words is "two trillion, one billion, one hundred million, three hundred fifty thousand, four hundred twenty".