220200100002000 has 240 divisors, whose sum is σ = 778820814420480. Its totient is φ = 57976734816000.

The previous prime is 220200100001977. The next prime is 220200100002023. The reversal of 220200100002000 is 200001002022.

It is an interprime number because it is at equal distance from previous prime (220200100001977) and next prime (220200100002023).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 76004196 + ... + 78848195.

It is an arithmetic number, because the mean of its divisors is an integer number (3245086726752).

Almost surely, 2^{220200100002000} is an apocalyptic number.

220200100002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220200100002000 is an abundant number, since it is smaller than the sum of its proper divisors (558620714418480).

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

220200100002000 is a wasteful number, since it uses less digits than its factorization.

220200100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154852499 (or 154852480 counting only the distinct ones).

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

Adding to 220200100002000 its reverse (200001002022), we get a palindrome (220400101004022).

The spelling of 220200100002000 in words is "two hundred twenty trillion, two hundred billion, one hundred million, two thousand".