1102101120 has 512 divisors, whose sum is σ = 4230144000. Its totient is φ = 270471168.

The previous prime is 1102101103. The next prime is 1102101127. The reversal of 1102101120 is 211012011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18679651 + ... + 18679709.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^1102101120 is an apocalyptic number.

1102101120 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 1102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

1102101120 is an abundant number, since it is smaller than the sum of its proper divisors (3128042880).

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

1102101120 is a wasteful number, since it uses less digits than its factorization.

1102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1102101120 is about 33197.9083678475. The cubic root of 1102101120 is about 1032.9369533007.

Adding to 1102101120 its reverse (211012011), we get a palindrome (1313113131).

The spelling of 1102101120 in words is "one billion, one hundred two million, one hundred one thousand, one hundred twenty".