2011031220400 has 60 divisors (see below), whose sum is σ = 4832031346272. Its totient is φ = 804324440320.

The previous prime is 2011031220389. The next prime is 2011031220409. The reversal of 2011031220400 is 40221301102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2011031220409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3446697 + ... + 3987703.

Almost surely, 2^{2011031220400} is an apocalyptic number.

2011031220400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011031220400 is an abundant number, since it is smaller than the sum of its proper divisors (2821000125872).

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

2011031220400 is a wasteful number, since it uses less digits than its factorization.

2011031220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550318 (or 550307 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2011031220400 its reverse (40221301102), we get a palindrome (2051252521502).

The spelling of 2011031220400 in words is "two trillion, eleven billion, thirty-one million, two hundred twenty thousand, four hundred".