10001022010000 has 300 divisors, whose sum is σ = 28180377664428. Its totient is φ = 3427256448000.

The previous prime is 10001022009989. The next prime is 10001022010013. The reversal of 10001022010000 is 1022010001.

It can be written as a sum of positive squares in 10 ways, for example, as 5019983643024 + 4981038366976 = 2240532^2 + 2231824^2 .

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

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 59 ways as a sum of consecutive naturals, for example, 1429326502 + ... + 1429333498.

Almost surely, 2^{10001022010000} is an apocalyptic number.

10001022010000 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 10001022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090188832214).

10001022010000 is an abundant number, since it is smaller than the sum of its proper divisors (18179355654428).

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

10001022010000 is an equidigital number, since it uses as much as digits as its factorization.

10001022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9928 counting only the distinct ones).

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

Adding to 10001022010000 its reverse (1022010001), we get a palindrome (10002044020001).

Subtracting from 10001022010000 its reverse (1022010001), we obtain a palindrome (9999999999999).

The spelling of 10001022010000 in words is "ten trillion, one billion, twenty-two million, ten thousand".