2011120100420 has 48 divisors (see below), whose sum is σ = 4387736349360. Its totient is φ = 773374887936.

The previous prime is 2011120100413. The next prime is 2011120100491. The reversal of 2011120100420 is 240010211102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3389801284 + 2007730299136 = 58222^2 + 1416944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2011120100395 and 2011120100404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7305737 + ... + 7576016.

It is an arithmetic number, because the mean of its divisors is an integer number (91411173945).

Almost surely, 2^{2011120100420} is an apocalyptic number.

2011120100420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011120100420 is an abundant number, since it is smaller than the sum of its proper divisors (2376616248940).

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

2011120100420 is a wasteful number, since it uses less digits than its factorization.

2011120100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14882024 (or 14882022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011120100420 its reverse (240010211102), we get a palindrome (2251130311522).

The spelling of 2011120100420 in words is "two trillion, eleven billion, one hundred twenty million, one hundred thousand, four hundred twenty".