1102011001120 has 96 divisors (see below), whose sum is σ = 2638046880000. Its totient is φ = 434975287296.

The previous prime is 1102011001087. The next prime is 1102011001127. The reversal of 1102011001120 is 211001102011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1102011001097 and 1102011001106.

It is not an unprimeable number, because it can be changed into a prime (1102011001127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7028217 + ... + 7183303.

It is an arithmetic number, because the mean of its divisors is an integer number (27479655000).

Almost surely, 2^{1102011001120} is an apocalyptic number.

1102011001120 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 1102011001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319023440000).

1102011001120 is an abundant number, since it is smaller than the sum of its proper divisors (1536035878880).

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

1102011001120 is a wasteful number, since it uses less digits than its factorization.

1102011001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155690 (or 155682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1102011001120 its reverse (211001102011), we get a palindrome (1313012103131).

The spelling of 1102011001120 in words is "one trillion, one hundred two billion, eleven million, one thousand, one hundred twenty".