2102213221020 has 288 divisors, whose sum is σ = 7084715549184. Its totient is φ = 500261875200.

The previous prime is 2102213221019. The next prime is 2102213221027. The reversal of 2102213221020 is 201223122012.

2102213221020 is a `hidden beast` number, since 21 + 0 + 221 + 322 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102213220984 and 2102213221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102213221027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60735039 + ... + 60769641.

It is an arithmetic number, because the mean of its divisors is an integer number (24599706768).

Almost surely, 2^{2102213221020} is an apocalyptic number.

2102213221020 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 2102213221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542357774592).

2102213221020 is an abundant number, since it is smaller than the sum of its proper divisors (4982502328164).

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

2102213221020 is a wasteful number, since it uses less digits than its factorization.

2102213221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35193 (or 35188 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102213221020 its reverse (201223122012), we get a palindrome (2303436343032).

The spelling of 2102213221020 in words is "two trillion, one hundred two billion, two hundred thirteen million, two hundred twenty-one thousand, twenty".