2220102002000 has 160 divisors (see below), whose sum is σ = 5604707347200. Its totient is φ = 848960217600.

The previous prime is 2220102001937. The next prime is 2220102002009. The reversal of 2220102002000 is 2002010222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220102002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89641619 + ... + 89666381.

It is an arithmetic number, because the mean of its divisors is an integer number (35029420920).

Almost surely, 2^{2220102002000} is an apocalyptic number.

2220102002000 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 2220102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802353673600).

2220102002000 is an abundant number, since it is smaller than the sum of its proper divisors (3384605345200).

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

2220102002000 is a wasteful number, since it uses less digits than its factorization.

2220102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26758 (or 26742 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2220102002000 its reverse (2002010222), we get a palindrome (2222104012222).

The spelling of 2220102002000 in words is "two trillion, two hundred twenty billion, one hundred two million, two thousand".