10000600101128 has 128 divisors (see below), whose sum is σ = 24486046502400. Its totient is φ = 3715910774784.

The previous prime is 10000600101101. The next prime is 10000600101161. The reversal of 10000600101128 is 82110100600001.

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, 5197478 + ... + 6856746.

It is an arithmetic number, because the mean of its divisors is an integer number (191297238300).

Almost surely, 2^{10000600101128} 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 10000600101128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243023251200).

10000600101128 is an abundant number, since it is smaller than the sum of its proper divisors (14485446401272).

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

10000600101128 is a wasteful number, since it uses less digits than its factorization.

10000600101128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659799 (or 1659795 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10000600101128 its reverse (82110100600001), we get a palindrome (92110700701129).

The spelling of 10000600101128 in words is "ten trillion, six hundred million, one hundred one thousand, one hundred twenty-eight".