2001220102100 has 36 divisors (see below), whose sum is σ = 4344404182524. Its totient is φ = 800164250880.

The previous prime is 2001220102087. The next prime is 2001220102171. The reversal of 2001220102100 is 12010221002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 310897686724 + 1690322415376 = 557582^2 + 1300124^2 .

It is a super-3 number, since 3×2001220102100³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3798839 + ... + 4293438.

It is an arithmetic number, because the mean of its divisors is an integer number (120677893959).

Almost surely, 2^{2001220102100} is an apocalyptic number.

2001220102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001220102100 is an abundant number, since it is smaller than the sum of its proper divisors (2343184080424).

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

2001220102100 is a wasteful number, since it uses less digits than its factorization.

2001220102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094764 (or 8094757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001220102100 its reverse (12010221002), we get a palindrome (2013230323102).

The spelling of 2001220102100 in words is "two trillion, one billion, two hundred twenty million, one hundred two thousand, one hundred".