2011121000100 has 108 divisors (see below), whose sum is σ = 6674555746404. Its totient is φ = 504751933440.

The previous prime is 2011121000059. The next prime is 2011121000153. The reversal of 2011121000100 is 10001211102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 39163618404 + 1971957381696 = 197898^2 + 1404264^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65707609 + ... + 65738208.

Almost surely, 2^{2011121000100} is an apocalyptic number.

2011121000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011121000100 is an abundant number, since it is smaller than the sum of its proper divisors (4663434746304).

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

2011121000100 is a wasteful number, since it uses less digits than its factorization.

2011121000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131445854 (or 131445844 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011121000100 its reverse (10001211102), we get a palindrome (2021122211202).

The spelling of 2011121000100 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred", and thus it is an aban number.