10020000310144 has 256 divisors, whose sum is σ = 23019508512000. Its totient is φ = 4296631910400.

The previous prime is 10020000310139. The next prime is 10020000310171. The reversal of 10020000310144 is 44101300002001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11746776022 + ... + 11746776874.

It is an arithmetic number, because the mean of its divisors is an integer number (89919955125).

Almost surely, 2^{10020000310144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020000310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509754256000).

10020000310144 is an abundant number, since it is smaller than the sum of its proper divisors (12999508201856).

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

10020000310144 is a wasteful number, since it uses less digits than its factorization.

10020000310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10020000310144 its reverse (44101300002001), we get a palindrome (54121300312145).

The spelling of 10020000310144 in words is "ten trillion, twenty billion, three hundred ten thousand, one hundred forty-four".