2102220001020 has 144 divisors (see below), whose sum is σ = 6439999626144. Its totient is φ = 510595891200.

The previous prime is 2102220000967. The next prime is 2102220001033. The reversal of 2102220001020 is 201000222012.

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 = 2102220000987 and 2102220001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92101 + ... + 2052540.

It is an arithmetic number, because the mean of its divisors is an integer number (44722219626).

Almost surely, 2^{2102220001020} is an apocalyptic number.

2102220001020 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 2102220001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219999813072).

2102220001020 is an abundant number, since it is smaller than the sum of its proper divisors (4337779625124).

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

2102220001020 is a wasteful number, since it uses less digits than its factorization.

2102220001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144732 (or 2144699 counting only the distinct ones).

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

Adding to 2102220001020 its reverse (201000222012), we get a palindrome (2303220223032).

The spelling of 2102220001020 in words is "two trillion, one hundred two billion, two hundred twenty million, one thousand, twenty".