10031020020000 has 960 divisors, whose sum is σ = 41848781103360. Its totient is φ = 2289171456000.

The previous prime is 10031020019963. The next prime is 10031020020017. The reversal of 10031020020000 is 2002013001.

It is a happy number.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2921938284 + ... + 2921941716.

It is an arithmetic number, because the mean of its divisors is an integer number (43592480316).

Almost surely, 2^{10031020020000} is an apocalyptic number.

10031020020000 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 10031020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20924390551680).

10031020020000 is an abundant number, since it is smaller than the sum of its proper divisors (31817761083360).

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

10031020020000 is an equidigital number, since it uses as much as digits as its factorization.

10031020020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10031020020000 its reverse (2002013001), we get a palindrome (10033022033001).

The spelling of 10031020020000 in words is "ten trillion, thirty-one billion, twenty million, twenty thousand".