11102012120220 has 384 divisors, whose sum is σ = 39973962792960. Its totient is φ = 2243433646080.

The previous prime is 11102012120159. The next prime is 11102012120281. The reversal of 11102012120220 is 2202121020111.

11102012120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11102012120159) and next prime (11102012120281).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11102012120220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6787479 + ... + 8262801.

It is an arithmetic number, because the mean of its divisors is an integer number (104098861440).

Almost surely, 2^{11102012120220} is an apocalyptic number.

11102012120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102012120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19986981396480).

11102012120220 is an abundant number, since it is smaller than the sum of its proper divisors (28871950672740).

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

11102012120220 is a wasteful number, since it uses less digits than its factorization.

11102012120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475425 (or 1475423 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11102012120220 its reverse (2202121020111), we get a palindrome (13304133140331).

The spelling of 11102012120220 in words is "eleven trillion, one hundred two billion, twelve million, one hundred twenty thousand, two hundred twenty".