101045252000 has 288 divisors, whose sum is σ = 315063193536. Its totient is φ = 31493952000.

The previous prime is 101045251999. The next prime is 101045252039. The reversal of 101045252000 is 252540101.

101045252000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2132567 + ... + 2179433.

It is an arithmetic number, because the mean of its divisors is an integer number (1093969422).

Almost surely, 2^101045252000 is an apocalyptic number.

101045252000 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 101045252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157531596768).

101045252000 is an abundant number, since it is smaller than the sum of its proper divisors (214017941536).

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

101045252000 is a wasteful number, since it uses less digits than its factorization.

101045252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46917 (or 46892 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 101045252000 its reverse (252540101), we get a palindrome (101297792101).

The spelling of 101045252000 in words is "one hundred one billion, forty-five million, two hundred fifty-two thousand".