1102001020 has 96 divisors (see below), whose sum is σ = 2451456000. Its totient is φ = 415584000.

The previous prime is 1102001003. The next prime is 1102001027. The reversal of 1102001020 is 201002011.

It is a junction number, because it is equal to n+sod(n) for n = 1102000994 and 1102001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7297945 + ... + 7298095.

It is an arithmetic number, because the mean of its divisors is an integer number (25536000).

Almost surely, 2^1102001020 is an apocalyptic number.

1102001020 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 1102001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225728000).

1102001020 is an abundant number, since it is smaller than the sum of its proper divisors (1349454980).

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

1102001020 is a wasteful number, since it uses less digits than its factorization.

1102001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1102001020 is about 33196.4007085106. The cubic root of 1102001020 is about 1032.9056796672.

Adding to 1102001020 its reverse (201002011), we get a palindrome (1303003031).

Subtracting from 1102001020 its reverse (201002011), we obtain a palindrome (900999009).

The spelling of 1102001020 in words is "one billion, one hundred two million, one thousand, twenty".