2100020200000 has 336 divisors, whose sum is σ = 5591305289808. Its totient is φ = 779673600000.

The previous prime is 2100020199931. The next prime is 2100020200009. The reversal of 2100020200000 is 20200012.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 2099740106304 + 280093696 = 1449048^2 + 16736^2 .

It is not an unprimeable number, because it can be changed into a prime (2100020200009) 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 47 ways as a sum of consecutive naturals, for example, 248195770 + ... + 248204230.

It is an arithmetic number, because the mean of its divisors is an integer number (16640789553).

Almost surely, 2^{2100020200000} is an apocalyptic number.

2100020200000 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 2100020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795652644904).

2100020200000 is an abundant number, since it is smaller than the sum of its proper divisors (3491285089808).

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

2100020200000 is an frugal number, since it uses more digits than its factorization.

2100020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2100020200000 its reverse (20200012), we get a palindrome (2100040400012).

The spelling of 2100020200000 in words is "two trillion, one hundred billion, twenty million, two hundred thousand".