100560561051000 has 512 divisors, whose sum is σ = 328061344665600. Its totient is φ = 25623267840000.

The previous prime is 100560561050987. The next prime is 100560561051001. The reversal of 100560561051000 is 150165065001.

It is a super-2 number, since 2×100560561051000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100560561051001) 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 127 ways as a sum of consecutive naturals, for example, 1966621434 + ... + 1966672566.

It is an arithmetic number, because the mean of its divisors is an integer number (640744813800).

Almost surely, 2^{100560561051000} is an apocalyptic number.

100560561051000 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 100560561051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164030672332800).

100560561051000 is an abundant number, since it is smaller than the sum of its proper divisors (227500783614600).

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

100560561051000 is a wasteful number, since it uses less digits than its factorization.

100560561051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51528 (or 51514 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 100560561051000 in words is "one hundred trillion, five hundred sixty billion, five hundred sixty-one million, fifty-one thousand".