101050504352000 has 288 divisors, whose sum is σ = 288492382563840. Its totient is φ = 34549353062400.

The previous prime is 101050504351931. The next prime is 101050504352011. The reversal of 101050504352000 is 253405050101.

It is a super-2 number, since 2×101050504352000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79787702 + ... + 81044298.

It is an arithmetic number, because the mean of its divisors is an integer number (1001709661680).

Almost surely, 2^{101050504352000} is an apocalyptic number.

101050504352000 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 101050504352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144246191281920).

101050504352000 is an abundant number, since it is smaller than the sum of its proper divisors (187441878211840).

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

101050504352000 is an equidigital number, since it uses as much as digits as its factorization.

101050504352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256994 (or 1256970 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 101050504352000 in words is "one hundred one trillion, fifty billion, five hundred four million, three hundred fifty-two thousand".