20100010022100 has 54 divisors (see below), whose sum is σ = 63002364749870. Its totient is φ = 5360002672320.

The previous prime is 20100010022069. The next prime is 20100010022149. The reversal of 20100010022100 is 122001000102.

It can be written as a sum of positive squares in 3 ways, for example, as 92764103184 + 20007245918916 = 304572^2 + 4472946^2 .

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11166671335 + ... + 11166673134.

Almost surely, 2^{20100010022100} is an apocalyptic number.

20100010022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100010022100 is an abundant number, since it is smaller than the sum of its proper divisors (42902354727770).

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

20100010022100 is a wasteful number, since it uses less digits than its factorization.

20100010022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22333344489 (or 22333344479 counting only the distinct ones).

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

Adding to 20100010022100 its reverse (122001000102), we get a palindrome (20222011022202).

The spelling of 20100010022100 in words is "twenty trillion, one hundred billion, ten million, twenty-two thousand, one hundred".