10010001022000 has 80 divisors (see below), whose sum is σ = 27661922862912. Its totient is φ = 3432000345600.

The previous prime is 10010001021961. The next prime is 10010001022009. The reversal of 10010001022000 is 22010001001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10010001022009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 357486037 + ... + 357514036.

Almost surely, 2^{10010001022000} is an apocalyptic number.

10010001022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010001022000 is an abundant number, since it is smaller than the sum of its proper divisors (17651921840912).

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

10010001022000 is an equidigital number, since it uses as much as digits as its factorization.

10010001022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715000103 (or 715000087 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10010001022000 its reverse (22010001001), we get a palindrome (10032011023001).

The spelling of 10010001022000 in words is "ten trillion, ten billion, one million, twenty-two thousand".