11201001012100 has 36 divisors (see below), whose sum is σ = 24311460592804. Its totient is φ = 4479425585280.

The previous prime is 11201001012049. The next prime is 11201001012107. The reversal of 11201001012100 is 121010010211.

It can be written as a sum of positive squares in 6 ways, for example, as 4262275862784 + 6938725149316 = 2064528^2 + 2634146^2 .

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 (11201001012107) 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, 11723247 + ... + 12642646.

Almost surely, 2^{11201001012100} is an apocalyptic number.

11201001012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201001012100 is an abundant number, since it is smaller than the sum of its proper divisors (13110459580704).

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

11201001012100 is a wasteful number, since it uses less digits than its factorization.

11201001012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24370504 (or 24370497 counting only the distinct ones).

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

Adding to 11201001012100 its reverse (121010010211), we get a palindrome (11322011022311).

The spelling of 11201001012100 in words is "eleven trillion, two hundred one billion, one million, twelve thousand, one hundred".