2001102101200 has 30 divisors (see below), whose sum is σ = 4807647799094. Its totient is φ = 800440840320.

The previous prime is 2001102101149. The next prime is 2001102101203. The reversal of 2001102101200 is 21012011002.

It can be written as a sum of positive squares in 3 ways, for example, as 21486869056 + 1979615232144 = 146584^2 + 1406988^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001102101203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2501377227 + ... + 2501378026.

Almost surely, 2^{2001102101200} is an apocalyptic number.

2001102101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001102101200 is an abundant number, since it is smaller than the sum of its proper divisors (2806545697894).

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

2001102101200 is a wasteful number, since it uses less digits than its factorization.

2001102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002755271 (or 5002755260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001102101200 its reverse (21012011002), we get a palindrome (2022114112202).

The spelling of 2001102101200 in words is "two trillion, one billion, one hundred two million, one hundred one thousand, two hundred".