2001101012200 has 48 divisors (see below), whose sum is σ = 4654253587500. Its totient is φ = 800149009920.

The previous prime is 2001101012189. The next prime is 2001101012203. The reversal of 2001101012200 is 22101011002.

It can be written as a sum of positive squares in 6 ways, for example, as 812691432036 + 1188409580164 = 901494^2 + 1090142^2 .

It is a super-2 number, since 2×2001101012200² (a number of 25 digits) contains 22 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 (2001101012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1270045 + ... + 2369644.

Almost surely, 2^{2001101012200} is an apocalyptic number.

2001101012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001101012200 is an abundant number, since it is smaller than the sum of its proper divisors (2653152575300).

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

2001101012200 is a wasteful number, since it uses less digits than its factorization.

2001101012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642454 (or 3642445 counting only the distinct ones).

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

Adding to 2001101012200 its reverse (22101011002), we get a palindrome (2023202023202).

The spelling of 2001101012200 in words is "two trillion, one billion, one hundred one million, twelve thousand, two hundred".