1052101110500 has 288 divisors, whose sum is σ = 2644196825088. Its totient is φ = 364980000000.

The previous prime is 1052101110481. The next prime is 1052101110503. The reversal of 1052101110500 is 50111012501.

It is a super-2 number, since 2×1052101110500² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052101110503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133156550 + ... + 133164450.

It is an arithmetic number, because the mean of its divisors is an integer number (9181238976).

Almost surely, 2^{1052101110500} is an apocalyptic number.

1052101110500 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 1052101110500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322098412544).

1052101110500 is an abundant number, since it is smaller than the sum of its proper divisors (1592095714588).

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

1052101110500 is a wasteful number, since it uses less digits than its factorization.

1052101110500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 17.

The spelling of 1052101110500 in words is "one trillion, fifty-two billion, one hundred one million, one hundred ten thousand, five hundred".