11001211102120 has 16 divisors (see below), whose sum is σ = 24752724979860. Its totient is φ = 4400484440832.

The previous prime is 11001211102109. The next prime is 11001211102153. The reversal of 11001211102120 is 2120111210011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10218647942244 + 782563159876 = 3196662^2 + 884626^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11001211102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137515138737 + ... + 137515138816.

Almost surely, 2^{11001211102120} is an apocalyptic number.

11001211102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001211102120 is an abundant number, since it is smaller than the sum of its proper divisors (13751513877740).

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

11001211102120 is a wasteful number, since it uses less digits than its factorization.

11001211102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275030277564 (or 275030277560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11001211102120 its reverse (2120111210011), we get a palindrome (13121322312131).

The spelling of 11001211102120 in words is "eleven trillion, one billion, two hundred eleven million, one hundred two thousand, one hundred twenty".