10201254244000 has 96 divisors (see below), whose sum is σ = 25088802665472. Its totient is φ = 4076542240000.

The previous prime is 10201254243989. The next prime is 10201254244001. The reversal of 10201254244000 is 44245210201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10201254244001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2887185 + ... + 5360815.

It is an arithmetic number, because the mean of its divisors is an integer number (261341694432).

Almost surely, 2^{10201254244000} is an apocalyptic number.

10201254244000 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 10201254244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12544401332736).

10201254244000 is an abundant number, since it is smaller than the sum of its proper divisors (14887548421472).

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

10201254244000 is a wasteful number, since it uses less digits than its factorization.

10201254244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474687 (or 2474669 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10201254244000 its reverse (44245210201), we get a palindrome (10245499454201).

The spelling of 10201254244000 in words is "ten trillion, two hundred one billion, two hundred fifty-four million, two hundred forty-four thousand".