220010102002000 has 320 divisors, whose sum is σ = 569818923897600. Its totient is φ = 81866161766400.

The previous prime is 220010102001973. The next prime is 220010102002001. The reversal of 220010102002000 is 200201010022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010102002001) 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, 9135481959 + ... + 9135506041.

It is an arithmetic number, because the mean of its divisors is an integer number (1780684137180).

Almost surely, 2^{220010102002000} is an apocalyptic number.

220010102002000 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 220010102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284909461948800).

220010102002000 is an abundant number, since it is smaller than the sum of its proper divisors (349808821895600).

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

220010102002000 is a wasteful number, since it uses less digits than its factorization.

220010102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27231 (or 27215 counting only the distinct ones).

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

Adding to 220010102002000 its reverse (200201010022), we get a palindrome (220210303012022).

The spelling of 220010102002000 in words is "two hundred twenty trillion, ten billion, one hundred two million, two thousand".