1102100120 has 64 divisors (see below), whose sum is σ = 2713284000. Its totient is φ = 399559680.

The previous prime is 1102100113. The next prime is 1102100143. The reversal of 1102100120 is 210012011.

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 = 1102100098 and 1102100107.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 149972 + ... + 157148.

Almost surely, 2^1102100120 is an apocalyptic number.

1102100120 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 1102100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356642000).

1102100120 is an abundant number, since it is smaller than the sum of its proper divisors (1611183880).

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

1102100120 is a wasteful number, since it uses less digits than its factorization.

1102100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7544 counting only the distinct ones).

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

The square root of 1102100120 is about 33197.8933066543. The cubic root of 1102100120 is about 1032.9366408862.

Adding to 1102100120 its reverse (210012011), we get a palindrome (1312112131).

The spelling of 1102100120 in words is "one billion, one hundred two million, one hundred thousand, one hundred twenty".