2101002120200 has 96 divisors (see below), whose sum is σ = 4960343232000. Its totient is φ = 827422506240.

The previous prime is 2101002120179. The next prime is 2101002120209. The reversal of 2101002120200 is 20212001012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2101002120209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26076377 + ... + 26156823.

It is an arithmetic number, because the mean of its divisors is an integer number (51670242000).

Almost surely, 2^{2101002120200} is an apocalyptic number.

2101002120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101002120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480171616000).

2101002120200 is an abundant number, since it is smaller than the sum of its proper divisors (2859341111800).

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

2101002120200 is a wasteful number, since it uses less digits than its factorization.

2101002120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82479 (or 82470 counting only the distinct ones).

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

Adding to 2101002120200 its reverse (20212001012), we get a palindrome (2121214121212).

The spelling of 2101002120200 in words is "two trillion, one hundred one billion, two million, one hundred twenty thousand, two hundred".