20002200102000 has 1600 divisors, whose sum is σ = 82585640966400. Its totient is φ = 4635883929600.

The previous prime is 20002200101999. The next prime is 20002200102041. The reversal of 20002200102000 is 20100220002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1836912556 + ... + 1836923444.

It is an arithmetic number, because the mean of its divisors is an integer number (51616025604).

Almost surely, 2^{20002200102000} is an apocalyptic number.

20002200102000 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 20002200102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41292820483200).

20002200102000 is an abundant number, since it is smaller than the sum of its proper divisors (62583440864400).

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

20002200102000 is a wasteful number, since it uses less digits than its factorization.

20002200102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10993 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20002200102000 its reverse (20100220002), we get a palindrome (20022300322002).

The spelling of 20002200102000 in words is "twenty trillion, two billion, two hundred million, one hundred two thousand".