220201000001000 has 128 divisors (see below), whose sum is σ = 524283765782400. Its totient is φ = 86541239116800.

The previous prime is 220201000000939. The next prime is 220201000001033. The reversal of 220201000001000 is 100000102022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109510679 + ... + 111503321.

It is an arithmetic number, because the mean of its divisors is an integer number (4095966920175).

Almost surely, 2^{220201000001000} is an apocalyptic number.

220201000001000 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 220201000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262141882891200).

220201000001000 is an abundant number, since it is smaller than the sum of its proper divisors (304082765781400).

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

220201000001000 is a wasteful number, since it uses less digits than its factorization.

220201000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994596 (or 1994582 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 220201000001000 its reverse (100000102022), we get a palindrome (220301000103022).

The spelling of 220201000001000 in words is "two hundred twenty trillion, two hundred one billion, one thousand".