1102133020120 has 256 divisors, whose sum is σ = 2810137536000. Its totient is φ = 385617408000.

The previous prime is 1102133020097. The next prime is 1102133020147. The reversal of 1102133020120 is 210203312011.

It is a junction number, because it is equal to n+sod(n) for n = 1102133020094 and 1102133020103.

It is a congruent number.

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, 233352079 + ... + 233356801.

It is an arithmetic number, because the mean of its divisors is an integer number (10977099750).

Almost surely, 2^{1102133020120} is an apocalyptic number.

1102133020120 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 1102133020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405068768000).

1102133020120 is an abundant number, since it is smaller than the sum of its proper divisors (1708004515880).

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

1102133020120 is a wasteful number, since it uses less digits than its factorization.

1102133020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1102133020120 its reverse (210203312011), we get a palindrome (1312336332131).

The spelling of 1102133020120 in words is "one trillion, one hundred two billion, one hundred thirty-three million, twenty thousand, one hundred twenty".