2102011020 has 96 divisors (see below), whose sum is σ = 6555225600. Its totient is φ = 559196352.

The previous prime is 2102011013. The next prime is 2102011039. The reversal of 2102011020 is 201102012.

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

It is a junction number, because it is equal to n+sod(n) for n = 2102010993 and 2102011011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232627 + ... + 241493.

It is an arithmetic number, because the mean of its divisors is an integer number (68283600).

Almost surely, 2^2102011020 is an apocalyptic number.

2102011020 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 2102011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277612800).

2102011020 is an abundant number, since it is smaller than the sum of its proper divisors (4453214580).

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

2102011020 is a wasteful number, since it uses less digits than its factorization.

2102011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102011020 is about 45847.6937260753. The cubic root of 2102011020 is about 1280.9878076381.

Adding to 2102011020 its reverse (201102012), we get a palindrome (2303113032).

The spelling of 2102011020 in words is "two billion, one hundred two million, eleven thousand, twenty".