2101101101200 has 60 divisors (see below), whose sum is σ = 5097874655988. Its totient is φ = 832119232000.

The previous prime is 2101101101171. The next prime is 2101101101207. The reversal of 2101101101200 is 21011011012.

It can be written as a sum of positive squares in 6 ways, for example, as 452116380816 + 1648984720384 = 672396^2 + 1284128^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2101101101207) 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, 25963327 + ... + 26044126.

Almost surely, 2^{2101101101200} is an apocalyptic number.

2101101101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101101101200 is an abundant number, since it is smaller than the sum of its proper divisors (2996773554788).

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

2101101101200 is a wasteful number, since it uses less digits than its factorization.

2101101101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52007572 (or 52007561 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2101101101200 its reverse (21011011012), we get a palindrome (2122112112212).

2101101101200 divided by its reverse (21011011012) gives a square (100 = 10²).

The spelling of 2101101101200 in words is "two trillion, one hundred one billion, one hundred one million, one hundred one thousand, two hundred".