20102201101000 has 32 divisors (see below), whose sum is σ = 47039150578680. Its totient is φ = 8040880440000.

The previous prime is 20102201100991. The next prime is 20102201101067. The reversal of 20102201101000 is 10110220102.

It can be written as a sum of positive squares in 4 ways, for example, as 9290560033764 + 10811641067236 = 3048042^2 + 3288106^2 .

It is a super-2 number, since 2×20102201101000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10051099551 + ... + 10051101550.

Almost surely, 2^{20102201101000} is an apocalyptic number.

20102201101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102201101000 is an abundant number, since it is smaller than the sum of its proper divisors (26936949477680).

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

20102201101000 is a wasteful number, since it uses less digits than its factorization.

20102201101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20102201122 (or 20102201108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20102201101000 its reverse (10110220102), we get a palindrome (20112311321102).

It can be divided in two parts, 20102 and 201101000, that added together give a palindrome (201121102).

The spelling of 20102201101000 in words is "twenty trillion, one hundred two billion, two hundred one million, one hundred one thousand".