10102001301000 has 768 divisors, whose sum is σ = 41131831104000. Its totient is φ = 2184550041600.

The previous prime is 10102001300929. The next prime is 10102001301013. The reversal of 10102001301000 is 10310020101.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 191 ways as a sum of consecutive naturals, for example, 954003706 + ... + 954014294.

It is an arithmetic number, because the mean of its divisors is an integer number (53557071750).

Almost surely, 2^{10102001301000} is an apocalyptic number.

10102001301000 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 10102001301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20565915552000).

10102001301000 is an abundant number, since it is smaller than the sum of its proper divisors (31029829803000).

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

10102001301000 is a wasteful number, since it uses less digits than its factorization.

10102001301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10102001301000 its reverse (10310020101), we get a palindrome (10112311321101).

The spelling of 10102001301000 in words is "ten trillion, one hundred two billion, one million, three hundred one thousand".