10001001002022 has 96 divisors (see below), whose sum is σ = 22601942138880. Its totient is φ = 3192039990720.

The previous prime is 10001001002009. The next prime is 10001001002059. The reversal of 10001001002022 is 22020010010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001001001995 and 10001001002013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165903747 + ... + 165964017.

It is an arithmetic number, because the mean of its divisors is an integer number (235436897280).

Almost surely, 2^{10001001002022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001001002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11300971069440).

10001001002022 is an abundant number, since it is smaller than the sum of its proper divisors (12600941136858).

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

10001001002022 is a wasteful number, since it uses less digits than its factorization.

10001001002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62938 (or 62935 counting only the distinct ones).

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

Adding to 10001001002022 its reverse (22020010010001), we get a palindrome (32021011012023).

The spelling of 10001001002022 in words is "ten trillion, one billion, one million, two thousand, twenty-two".