10001011025000 has 48 divisors (see below), whose sum is σ = 23438369496780. Its totient is φ = 4000404400000.

The previous prime is 10001011024993. The next prime is 10001011025113. The reversal of 10001011025000 is 52011010001.

It can be written as a sum of positive squares in 6 ways, for example, as 1587867131236 + 8413143893764 = 1260106^2 + 2900542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199995221 + ... + 200045220.

Almost surely, 2^{10001011025000} is an apocalyptic number.

10001011025000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001011025000 is an abundant number, since it is smaller than the sum of its proper divisors (13437358471780).

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

10001011025000 is an frugal number, since it uses more digits than its factorization.

10001011025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400040472 (or 400040448 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 10001011025000 its reverse (52011010001), we get a palindrome (10053022035001).

The spelling of 10001011025000 in words is "ten trillion, one billion, eleven million, twenty-five thousand".