10001021122100 has 72 divisors (see below), whose sum is σ = 21897689213400. Its totient is φ = 3964387553280.

The previous prime is 10001021122097. The next prime is 10001021122139. The reversal of 10001021122100 is 122112010001.

It can be written as a sum of positive squares in 12 ways, for example, as 523255476496 + 9477765645604 = 723364^2 + 3078598^2 .

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, 76017176 + ... + 76148624.

Almost surely, 2^{10001021122100} is an apocalyptic number.

10001021122100 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 10001021122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10948844606700).

10001021122100 is an abundant number, since it is smaller than the sum of its proper divisors (11896668091300).

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

10001021122100 is a wasteful number, since it uses less digits than its factorization.

10001021122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138309 (or 138302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001021122100 its reverse (122112010001), we get a palindrome (10123133132101).

The spelling of 10001021122100 in words is "ten trillion, one billion, twenty-one million, one hundred twenty-two thousand, one hundred".