10001221122100 has 72 divisors (see below), whose sum is σ = 23407878284280. Its totient is φ = 3687103188480.

The previous prime is 10001221122091. The next prime is 10001221122157. The reversal of 10001221122100 is 122112210001.

It can be written as a sum of positive squares in 12 ways, for example, as 5707158549156 + 4294062572944 = 2388966^2 + 2072212^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5041795 + ... + 6739594.

It is an arithmetic number, because the mean of its divisors is an integer number (325109420615).

Almost surely, 2^{10001221122100} is an apocalyptic number.

10001221122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001221122100 is an abundant number, since it is smaller than the sum of its proper divisors (13406657162180).

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

10001221122100 is a wasteful number, since it uses less digits than its factorization.

10001221122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11782069 (or 11782062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001221122100 its reverse (122112210001), we get a palindrome (10123333332101).

The spelling of 10001221122100 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".