100561061001006 has 128 divisors (see below), whose sum is σ = 233431106964480. Its totient is φ = 32029133875200.

The previous prime is 100561061000989. The next prime is 100561061001043. The reversal of 100561061001006 is 600100160165001.

It is a super-2 number, since 2×100561061001006² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5981852341 + ... + 5981869151.

It is an arithmetic number, because the mean of its divisors is an integer number (1823680523160).

Almost surely, 2^{100561061001006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100561061001006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116715553482240).

100561061001006 is an abundant number, since it is smaller than the sum of its proper divisors (132870045963474).

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

100561061001006 is a wasteful number, since it uses less digits than its factorization.

100561061001006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21639 (or 21633 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 100561061001006 in words is "one hundred trillion, five hundred sixty-one billion, sixty-one million, one thousand, six".