2102022120 has 256 divisors, whose sum is σ = 7331834880. Its totient is φ = 476467200.

The previous prime is 2102022101. The next prime is 2102022127. The reversal of 2102022120 is 212202012.

It is a super-3 number, since 3×2102022120³ (a number of 29 digits) contains 333 as substring.

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 = 2102022096 and 2102022105.

It is not an unprimeable number, because it can be changed into a prime (2102022127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6350355 + ... + 6350685.

It is an arithmetic number, because the mean of its divisors is an integer number (28639980).

Almost surely, 2^2102022120 is an apocalyptic number.

2102022120 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 2102022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665917440).

2102022120 is an abundant number, since it is smaller than the sum of its proper divisors (5229812760).

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

2102022120 is a wasteful number, since it uses less digits than its factorization.

2102022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2102022120 is about 45847.8147788965. The cubic root of 2102022120 is about 1280.9900624533.

Adding to 2102022120 its reverse (212202012), we get a palindrome (2314224132).

The spelling of 2102022120 in words is "two billion, one hundred two million, twenty-two thousand, one hundred twenty".