2102131020 has 96 divisors (see below), whose sum is σ = 6439023360. Its totient is φ = 508181760.

The previous prime is 2102131007. The next prime is 2102131043. The reversal of 2102131020 is 201312012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2102130987 and 2102131005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241911 + ... + 250449.

It is an arithmetic number, because the mean of its divisors is an integer number (67073160).

Almost surely, 2^2102131020 is an apocalyptic number.

2102131020 is a gapful number since it is divisible by the number (20) 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 2102131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219511680).

2102131020 is an abundant number, since it is smaller than the sum of its proper divisors (4336892340).

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

2102131020 is a wasteful number, since it uses less digits than its factorization.

2102131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2102131020 is about 45849.0023882745. The cubic root of 2102131020 is about 1281.0121835984.

Adding to 2102131020 its reverse (201312012), we get a palindrome (2303443032).

The spelling of 2102131020 in words is "two billion, one hundred two million, one hundred thirty-one thousand, twenty".