10001122022010 has 128 divisors (see below), whose sum is σ = 28097166366720. Its totient is φ = 2230615408896.

The previous prime is 10001122021949. The next prime is 10001122022027. The reversal of 10001122022010 is 1022022110001.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8658124 + ... + 9745016.

It is an arithmetic number, because the mean of its divisors is an integer number (219509112240).

Almost surely, 2^{10001122022010} is an apocalyptic number.

10001122022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001122022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048583183360).

10001122022010 is an abundant number, since it is smaller than the sum of its proper divisors (18096044344710).

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

10001122022010 is a wasteful number, since it uses less digits than its factorization.

10001122022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087972.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001122022010 its reverse (1022022110001), we get a palindrome (11023144132011).

The spelling of 10001122022010 in words is "ten trillion, one billion, one hundred twenty-two million, twenty-two thousand, ten".