100001106510612 has 192 divisors, whose sum is σ = 249318723354624. Its totient is φ = 31087569623040.

The previous prime is 100001106510581. The next prime is 100001106510637. The reversal of 100001106510612 is 216015601100001.

It is a super-2 number, since 2×100001106510612² (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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17418758062 + ... + 17418763802.

It is an arithmetic number, because the mean of its divisors is an integer number (1298535017472).

Almost surely, 2^{100001106510612} is an apocalyptic number.

100001106510612 is a gapful number since it is divisible by the number (12) 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 100001106510612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124659361677312).

100001106510612 is an abundant number, since it is smaller than the sum of its proper divisors (149317616844012).

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

100001106510612 is a wasteful number, since it uses less digits than its factorization.

100001106510612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7398 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 100001106510612 its reverse (216015601100001), we get a palindrome (316016707610613).

The spelling of 100001106510612 in words is "one hundred trillion, one billion, one hundred six million, five hundred ten thousand, six hundred twelve".