11102120100000 has 432 divisors, whose sum is σ = 40528705043736. Its totient is φ = 2880541440000.

The previous prime is 11102120099957. The next prime is 11102120100011. The reversal of 11102120100000 is 102120111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5092189401744 + 6009930698256 = 2256588^2 + 2451516^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33133302 + ... + 33466698.

Almost surely, 2^{11102120100000} is an apocalyptic number.

11102120100000 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 11102120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20264352521868).

11102120100000 is an abundant number, since it is smaller than the sum of its proper divisors (29426584943736).

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

11102120100000 is an equidigital number, since it uses as much as digits as its factorization.

11102120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333475 (or 333444 counting only the distinct ones).

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

Adding to 11102120100000 its reverse (102120111), we get a palindrome (11102222220111).

The spelling of 11102120100000 in words is "eleven trillion, one hundred two billion, one hundred twenty million, one hundred thousand".