10202030031000 has 768 divisors, whose sum is σ = 34990448688000. Its totient is φ = 2471435366400.

The previous prime is 10202030030947. The next prime is 10202030031049. The reversal of 10202030031000 is 13003020201.

It is a happy number.

It is a super-2 number, since 2×10202030031000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4930897966 + ... + 4930900034.

Almost surely, 2^{10202030031000} is an apocalyptic number.

10202030031000 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 10202030031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17495224344000).

10202030031000 is an abundant number, since it is smaller than the sum of its proper divisors (24788418657000).

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

10202030031000 is a wasteful number, since it uses less digits than its factorization.

10202030031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10202030031000 its reverse (13003020201), we get a palindrome (10215033051201).

The spelling of 10202030031000 in words is "ten trillion, two hundred two billion, thirty million, thirty-one thousand".