100109565452512 has 192 divisors, whose sum is σ = 246115329513984. Its totient is φ = 38941561866240.

The previous prime is 100109565452453. The next prime is 100109565452551. The reversal of 100109565452512 is 215254565901001.

It is a super-2 number, since 2×100109565452512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7937008318 + ... + 7937020930.

It is an arithmetic number, because the mean of its divisors is an integer number (1281850674552).

Almost surely, 2^{100109565452512} 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 100109565452512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123057664756992).

100109565452512 is an abundant number, since it is smaller than the sum of its proper divisors (146005764061472).

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

100109565452512 is a wasteful number, since it uses less digits than its factorization.

100109565452512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17521 (or 17513 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 46.

The spelling of 100109565452512 in words is "one hundred trillion, one hundred nine billion, five hundred sixty-five million, four hundred fifty-two thousand, five hundred twelve".