2101201000000 has 196 divisors, whose sum is σ = 5270680581300. Its totient is φ = 831001600000.

The previous prime is 2101200999967. The next prime is 2101201000033. The reversal of 2101201000000 is 1021012.

It is an interprime number because it is at equal distance from previous prime (2101200999967) and next prime (2101201000033).

It can be written as a sum of positive squares in 14 ways, for example, as 1051248292416 + 1049952707584 = 1025304^2 + 1024672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 88988196 + ... + 89011804.

Almost surely, 2^{2101201000000} is an apocalyptic number.

2101201000000 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 2101201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635340290650).

2101201000000 is an abundant number, since it is smaller than the sum of its proper divisors (3169479581300).

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

2101201000000 is an frugal number, since it uses more digits than its factorization.

2101201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23740 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2101201000000 its reverse (1021012), we get a palindrome (2101202021012).

The spelling of 2101201000000 in words is "two trillion, one hundred one billion, two hundred one million", and thus it is an aban number.