2102001021200 has 60 divisors (see below), whose sum is σ = 5062405176180. Its totient is φ = 838744596480.

The previous prime is 2102001021191. The next prime is 2102001021203. The reversal of 2102001021200 is 21201002012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 92036997376 + 2009964023824 = 303376^2 + 1417732^2 .

It is not an unprimeable number, because it can be changed into a prime (2102001021203) 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, 6260609 + ... + 6587808.

It is an arithmetic number, because the mean of its divisors is an integer number (84373419603).

Almost surely, 2^{2102001021200} is an apocalyptic number.

2102001021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102001021200 is an abundant number, since it is smaller than the sum of its proper divisors (2960404154980).

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

2102001021200 is a wasteful number, since it uses less digits than its factorization.

2102001021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12848844 (or 12848833 counting only the distinct ones).

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

Adding to 2102001021200 its reverse (21201002012), we get a palindrome (2123202023212).

The spelling of 2102001021200 in words is "two trillion, one hundred two billion, one million, twenty-one thousand, two hundred".