20100001122 has 56 divisors (see below), whose sum is σ = 45249268764. Its totient is φ = 6693339744.

The previous prime is 20100001121. The next prime is 20100001127. The reversal of 20100001122 is 22110000102.

It can be written as a sum of positive squares in 2 ways, for example, as 18422361441 + 1677639681 = 135729^2 + 40959^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20100001121) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1587288 + ... + 1599900.

Almost surely, 2^20100001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22624634382).

20100001122 is an abundant number, since it is smaller than the sum of its proper divisors (25149267642).

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

20100001122 is a wasteful number, since it uses less digits than its factorization.

20100001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13726 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100001122 its reverse (22110000102), we get a palindrome (42210001224).

The spelling of 20100001122 in words is "twenty billion, one hundred million, one thousand, one hundred twenty-two".