2101001011200 has 1080 divisors, whose sum is σ = 9264276298368. Its totient is φ = 443217346560.

The previous prime is 2101001011163. The next prime is 2101001011217. The reversal of 2101001011200 is 21101001012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335459269 + ... + 335465531.

Almost surely, 2^{2101001011200} is an apocalyptic number.

2101001011200 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 2101001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632138149184).

2101001011200 is an abundant number, since it is smaller than the sum of its proper divisors (7163275287168).

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

2101001011200 is a wasteful number, since it uses less digits than its factorization.

2101001011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101001011200 its reverse (21101001012), we get a palindrome (2122102012212).

The spelling of 2101001011200 in words is "two trillion, one hundred one billion, one million, eleven thousand, two hundred".