10001322100 has 288 divisors, whose sum is σ = 27898214400. Its totient is φ = 3022272000.

The previous prime is 10001322077. The next prime is 10001322101. The reversal of 10001322100 is 122310001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001322101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50257801 + ... + 50257999.

It is an arithmetic number, because the mean of its divisors is an integer number (96868800).

Almost surely, 2^10001322100 is an apocalyptic number.

10001322100 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 10001322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949107200).

10001322100 is an abundant number, since it is smaller than the sum of its proper divisors (17896892300).

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

10001322100 is a wasteful number, since it uses less digits than its factorization.

10001322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10001322100 its reverse (122310001), we get a palindrome (10123632101).

The spelling of 10001322100 in words is "ten billion, one million, three hundred twenty-two thousand, one hundred".