100101060561108 has 96 divisors (see below), whose sum is σ = 249439567297536. Its totient is φ = 31168136305152.

The previous prime is 100101060561053. The next prime is 100101060561109. The reversal of 100101060561108 is 801165060101001.

It is a super-2 number, since 2×100101060561108² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101060561109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62068635 + ... + 63660957.

It is an arithmetic number, because the mean of its divisors is an integer number (2598328826016).

Almost surely, 2^{100101060561108} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101060561108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124719783648768).

100101060561108 is an abundant number, since it is smaller than the sum of its proper divisors (149338506736428).

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

100101060561108 is a wasteful number, since it uses less digits than its factorization.

100101060561108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597693 (or 1597691 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The spelling of 100101060561108 in words is "one hundred trillion, one hundred one billion, sixty million, five hundred sixty-one thousand, one hundred eight".