10220201000 has 64 divisors (see below), whose sum is σ = 23942889360. Its totient is φ = 4083360000.

The previous prime is 10220200961. The next prime is 10220201011. The reversal of 10220201000 is 10202201.

It can be written as a sum of positive squares in 8 ways, for example, as 352162756 + 9868038244 = 18766^2 + 99338^2 .

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 15 ways as a sum of consecutive naturals, for example, 935570 + ... + 946430.

Almost surely, 2^10220201000 is an apocalyptic number.

10220201000 is a gapful number since it is divisible by the number (10) 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 10220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971444680).

10220201000 is an abundant number, since it is smaller than the sum of its proper divisors (13722688360).

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

10220201000 is a wasteful number, since it uses less digits than its factorization.

10220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11823 (or 11809 counting only the distinct ones).

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

Adding to 10220201000 its reverse (10202201), we get a palindrome (10230403201).

The spelling of 10220201000 in words is "ten billion, two hundred twenty million, two hundred one thousand".