2011200012100 has 36 divisors (see below), whose sum is σ = 4373854025044. Its totient is φ = 802719636480.

The previous prime is 2011200012053. The next prime is 2011200012109. The reversal of 2011200012100 is 12100021102.

It can be written as a sum of positive squares in 6 ways, for example, as 12188601604 + 1999011410496 = 110402^2 + 1413864^2 .

It is a super-3 number, since 3×2011200012100³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2011200012109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21958677 + ... + 22050076.

Almost surely, 2^{2011200012100} is an apocalyptic number.

2011200012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011200012100 is an abundant number, since it is smaller than the sum of its proper divisors (2362654012944).

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

2011200012100 is a wasteful number, since it uses less digits than its factorization.

2011200012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44009224 (or 44009217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011200012100 its reverse (12100021102), we get a palindrome (2023300033202).

The spelling of 2011200012100 in words is "two trillion, eleven billion, two hundred million, twelve thousand, one hundred".