1102120011020 has 192 divisors, whose sum is σ = 2756299456512. Its totient is φ = 362227680000.

The previous prime is 1102120010987. The next prime is 1102120011023. The reversal of 1102120011020 is 201100212011.

It is a junction number, because it is equal to n+sod(n) for n = 1102120010992 and 1102120011010.

It is not an unprimeable number, because it can be changed into a prime (1102120011023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250993025 + ... + 250997415.

It is an arithmetic number, because the mean of its divisors is an integer number (14355726336).

Almost surely, 2^{1102120011020} is an apocalyptic number.

1102120011020 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 1102120011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378149728256).

1102120011020 is an abundant number, since it is smaller than the sum of its proper divisors (1654179445492).

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

1102120011020 is a wasteful number, since it uses less digits than its factorization.

1102120011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4972 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1102120011020 its reverse (201100212011), we get a palindrome (1303220223031).

The spelling of 1102120011020 in words is "one trillion, one hundred two billion, one hundred twenty million, eleven thousand, twenty".