10021557150 has 144 divisors (see below), whose sum is σ = 29417581440. Its totient is φ = 2425723200.

The previous prime is 10021557131. The next prime is 10021557151. The reversal of 10021557150 is 5175512001.

10021557150 is a `hidden beast` number, since 100 + 2 + 1 + 557 + 1 + 5 + 0 = 666.

It is a super-2 number, since 2×10021557150² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021557151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4547949 + ... + 4550151.

It is an arithmetic number, because the mean of its divisors is an integer number (204288760).

Almost surely, 2^10021557150 is an apocalyptic number.

10021557150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021557150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708790720).

10021557150 is an abundant number, since it is smaller than the sum of its proper divisors (19396024290).

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

10021557150 is a wasteful number, since it uses less digits than its factorization.

10021557150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The spelling of 10021557150 in words is "ten billion, twenty-one million, five hundred fifty-seven thousand, one hundred fifty".