10021000102000 has 320 divisors, whose sum is σ = 26457085923840. Its totient is φ = 3658265856000.

The previous prime is 10021000101991. The next prime is 10021000102021. The reversal of 10021000102000 is 20100012001.

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 63 ways as a sum of consecutive naturals, for example, 119239995 + ... + 119324005.

It is an arithmetic number, because the mean of its divisors is an integer number (82678393512).

Almost surely, 2^{10021000102000} is an apocalyptic number.

10021000102000 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 10021000102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228542961920).

10021000102000 is an abundant number, since it is smaller than the sum of its proper divisors (16436085821840).

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

10021000102000 is a wasteful number, since it uses less digits than its factorization.

10021000102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84169 (or 84153 counting only the distinct ones).

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

Adding to 10021000102000 its reverse (20100012001), we get a palindrome (10041100114001).

The spelling of 10021000102000 in words is "ten trillion, twenty-one billion, one hundred two thousand".