1100202102120 has 256 divisors, whose sum is σ = 3639488993280. Its totient is φ = 263844224000.

The previous prime is 1100202102107. The next prime is 1100202102151. The reversal of 1100202102120 is 212012020011.

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 = 1100202102096 and 1100202102105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190244749 + ... + 190250531.

It is an arithmetic number, because the mean of its divisors is an integer number (14216753880).

Almost surely, 2^{1100202102120} is an apocalyptic number.

1100202102120 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 1100202102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819744496640).

1100202102120 is an abundant number, since it is smaller than the sum of its proper divisors (2539286891160).

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

1100202102120 is a wasteful number, since it uses less digits than its factorization.

1100202102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7336 (or 7332 counting only the distinct ones).

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

Adding to 1100202102120 its reverse (212012020011), we get a palindrome (1312214122131).

The spelling of 1100202102120 in words is "one trillion, one hundred billion, two hundred two million, one hundred two thousand, one hundred twenty".