1102120101120 has 288 divisors, whose sum is σ = 3618384295680. Its totient is φ = 285690101760.

The previous prime is 1102120101113. The next prime is 1102120101163. The reversal of 1102120101120 is 211010212011.

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 = 1102120101096 and 1102120101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187400580 + ... + 187406460.

It is an arithmetic number, because the mean of its divisors is an integer number (12563834360).

Almost surely, 2^{1102120101120} is an apocalyptic number.

1102120101120 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 1102120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809192147840).

1102120101120 is an abundant number, since it is smaller than the sum of its proper divisors (2516264194560).

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

1102120101120 is a wasteful number, since it uses less digits than its factorization.

1102120101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1102120101120 its reverse (211010212011), we get a palindrome (1313130313131).

The spelling of 1102120101120 in words is "one trillion, one hundred two billion, one hundred twenty million, one hundred one thousand, one hundred twenty".