2101001020200 has 120 divisors (see below), whose sum is σ = 7297087858830. Its totient is φ = 560266934400.

The previous prime is 2101001020187. The next prime is 2101001020211. The reversal of 2101001020200 is 20201001012.

It can be written as a sum of positive squares in 3 ways, for example, as 1317128066244 + 783872953956 = 1147662^2 + 885366^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2101001020200³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64829511 + ... + 64861910.

Almost surely, 2^{2101001020200} is an apocalyptic number.

2101001020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101001020200 is an abundant number, since it is smaller than the sum of its proper divisors (5196086838630).

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

2101001020200 is a wasteful number, since it uses less digits than its factorization.

2101001020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129691449 (or 129691431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2101001020200 its reverse (20201001012), we get a palindrome (2121202021212).

The spelling of 2101001020200 in words is "two trillion, one hundred one billion, one million, twenty thousand, two hundred".