10201043283000 has 256 divisors, whose sum is σ = 33232837248000. Its totient is φ = 2600298201600.

The previous prime is 10201043282993. The next prime is 10201043283031. The reversal of 10201043283000 is 38234010201.

10201043283000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10201043283000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106833279 + ... + 106928721.

It is an arithmetic number, because the mean of its divisors is an integer number (129815770500).

Almost surely, 2^{10201043283000} is an apocalyptic number.

10201043283000 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 10201043283000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616418624000).

10201043283000 is an abundant number, since it is smaller than the sum of its proper divisors (23031793965000).

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

10201043283000 is a wasteful number, since it uses less digits than its factorization.

10201043283000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97039 (or 97025 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10201043283000 its reverse (38234010201), we get a palindrome (10239277293201).

The spelling of 10201043283000 in words is "ten trillion, two hundred one billion, forty-three million, two hundred eighty-three thousand".