11201201202100 has 108 divisors (see below), whose sum is σ = 30450034825644. Its totient is φ = 3544995525120.

The previous prime is 11201201202053. The next prime is 11201201202101. The reversal of 11201201202100 is 120210210211.

It can be written as a sum of positive squares in 6 ways, for example, as 4267224976 + 11196933977124 = 65324^2 + 3346182^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201201202101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87857817 + ... + 87985216.

Almost surely, 2^{11201201202100} is an apocalyptic number.

11201201202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201201202100 is an abundant number, since it is smaller than the sum of its proper divisors (19248833623544).

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

11201201202100 is a wasteful number, since it uses less digits than its factorization.

11201201202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175843074 (or 175843060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11201201202100 its reverse (120210210211), we get a palindrome (11321411412311).

The spelling of 11201201202100 in words is "eleven trillion, two hundred one billion, two hundred one million, two hundred two thousand, one hundred".