10121050142240 has 96 divisors (see below), whose sum is σ = 25321369019184. Its totient is φ = 3809696808960.

The previous prime is 10121050142239. The next prime is 10121050142263. The reversal of 10121050142240 is 4224105012101.

It can be written as a sum of positive squares in 8 ways, for example, as 2997510494224 + 7123539648016 = 1731332^2 + 2668996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17772320 + ... + 18332960.

Almost surely, 2^{10121050142240} is an apocalyptic number.

10121050142240 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 10121050142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660684509592).

10121050142240 is an abundant number, since it is smaller than the sum of its proper divisors (15200318876944).

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

10121050142240 is a wasteful number, since it uses less digits than its factorization.

10121050142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567310 (or 567302 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 10121050142240 its reverse (4224105012101), we get a palindrome (14345155154341).

The spelling of 10121050142240 in words is "ten trillion, one hundred twenty-one billion, fifty million, one hundred forty-two thousand, two hundred forty".