11201000100120 has 128 divisors (see below), whose sum is σ = 37337401886400. Its totient is φ = 2986874569728.

The previous prime is 11201000100109. The next prime is 11201000100131. The reversal of 11201000100120 is 2100100010211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11201000100109) and next prime (11201000100131).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102823122 + ... + 102931998.

Almost surely, 2^{11201000100120} is an apocalyptic number.

11201000100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201000100120 is an abundant number, since it is smaller than the sum of its proper divisors (26136401786280).

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

11201000100120 is a wasteful number, since it uses less digits than its factorization.

11201000100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204154 (or 204144 counting only the distinct ones).

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

Adding to 11201000100120 its reverse (2100100010211), we get a palindrome (13301100110331).

The spelling of 11201000100120 in words is "eleven trillion, two hundred one billion, one hundred thousand, one hundred twenty".