11200102002120 has 64 divisors (see below), whose sum is σ = 33659987037120. Its totient is φ = 2981388886784.

The previous prime is 11200102002113. The next prime is 11200102002127. The reversal of 11200102002120 is 2120020100211.

It is an interprime number because it is at equal distance from previous prime (11200102002113) and next prime (11200102002127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200102002096 and 11200102002105.

It is not an unprimeable number, because it can be changed into a prime (11200102002127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82822479 + ... + 82957598.

It is an arithmetic number, because the mean of its divisors is an integer number (525937297455).

Almost surely, 2^{11200102002120} is an apocalyptic number.

11200102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200102002120 is an abundant number, since it is smaller than the sum of its proper divisors (22459885035000).

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

11200102002120 is a wasteful number, since it uses less digits than its factorization.

11200102002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165780654 (or 165780650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200102002120 its reverse (2120020100211), we get a palindrome (13320122102331).

The spelling of 11200102002120 in words is "eleven trillion, two hundred billion, one hundred two million, two thousand, one hundred twenty".