10001157000 has 128 divisors (see below), whose sum is σ = 31669971840. Its totient is φ = 2627116800.

The previous prime is 10001156987. The next prime is 10001157013. The reversal of 10001157000 is 75110001.

It is an interprime number because it is at equal distance from previous prime (10001156987) and next prime (10001157013).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 176122 + ... + 225878.

It is an arithmetic number, because the mean of its divisors is an integer number (247421655).

Almost surely, 2^10001157000 is an apocalyptic number.

10001157000 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 10001157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834985920).

10001157000 is an abundant number, since it is smaller than the sum of its proper divisors (21668814840).

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

10001157000 is a wasteful number, since it uses less digits than its factorization.

10001157000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49848 (or 49834 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 15.

Adding to 10001157000 its reverse (75110001), we get a palindrome (10076267001).

The spelling of 10001157000 in words is "ten billion, one million, one hundred fifty-seven thousand".