10109969430912 has 512 divisors, whose sum is σ = 32542497792000. Its totient is φ = 3071384469504.

The previous prime is 10109969430893. The next prime is 10109969430919. The reversal of 10109969430912 is 21903496990101.

It is a happy number.

10109969430912 is a `hidden beast` number, since 1 + 0 + 109 + 96 + 9 + 430 + 9 + 12 = 666.

It is a super-2 number, since 2×10109969430912² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109969430919) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1504680289 + ... + 1504687007.

It is an arithmetic number, because the mean of its divisors is an integer number (63559566000).

Almost surely, 2^{10109969430912} is an apocalyptic number.

10109969430912 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 10109969430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271248896000).

10109969430912 is an abundant number, since it is smaller than the sum of its proper divisors (22432528361088).

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

10109969430912 is a wasteful number, since it uses less digits than its factorization.

10109969430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 10109969430912 in words is "ten trillion, one hundred nine billion, nine hundred sixty-nine million, four hundred thirty thousand, nine hundred twelve".