10110672362112 has 384 divisors, whose sum is σ = 31714746739200. Its totient is φ = 2845191444480.

The previous prime is 10110672362069. The next prime is 10110672362113. The reversal of 10110672362112 is 21126327601101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10110672362112² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10110672362113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516922189 + ... + 516941747.

It is an arithmetic number, because the mean of its divisors is an integer number (82590486300).

Almost surely, 2^{10110672362112} is an apocalyptic number.

10110672362112 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 10110672362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857373369600).

10110672362112 is an abundant number, since it is smaller than the sum of its proper divisors (21604074377088).

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

10110672362112 is a wasteful number, since it uses less digits than its factorization.

10110672362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20004 (or 19985 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

Adding to 10110672362112 its reverse (21126327601101), we get a palindrome (31236999963213).

The spelling of 10110672362112 in words is "ten trillion, one hundred ten billion, six hundred seventy-two million, three hundred sixty-two thousand, one hundred twelve".