2102120020 has 288 divisors, whose sum is σ = 6136010496. Its totient is φ = 587059200.

The previous prime is 2102120017. The next prime is 2102120047. The reversal of 2102120020 is 200212012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2102119979 and 2102120006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10670562 + ... + 10670758.

It is an arithmetic number, because the mean of its divisors is an integer number (21305592).

Almost surely, 2^2102120020 is an apocalyptic number.

2102120020 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 2102120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068005248).

2102120020 is an abundant number, since it is smaller than the sum of its proper divisors (4033890476).

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

2102120020 is a wasteful number, since it uses less digits than its factorization.

2102120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2102120020 is about 45848.8824291280. The cubic root of 2102120020 is about 1281.0099491740.

Adding to 2102120020 its reverse (200212012), we get a palindrome (2302332032).

It can be divided in two parts, 21021 and 20020, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 2102120020 in words is "two billion, one hundred two million, one hundred twenty thousand, twenty".