1100102120 has 96 divisors (see below), whose sum is σ = 2706679800. Its totient is φ = 402195456.

The previous prime is 1100102117. The next prime is 1100102161. The reversal of 1100102120 is 212010011.

It can be written as a sum of positive squares in 12 ways, for example, as 63648484 + 1036453636 = 7978^2 + 32194^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1100102098 and 1100102107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736094 + ... + 737586.

Almost surely, 2^1100102120 is an apocalyptic number.

1100102120 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 1100102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353339900).

1100102120 is an abundant number, since it is smaller than the sum of its proper divisors (1606577680).

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

1100102120 is a wasteful number, since it uses less digits than its factorization.

1100102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1100102120 is about 33167.7873847503. The cubic root of 1100102120 is about 1032.3120588453.

Adding to 1100102120 its reverse (212010011), we get a palindrome (1312112131).

The spelling of 1100102120 in words is "one billion, one hundred million, one hundred two thousand, one hundred twenty".