10112121330345 has 64 divisors (see below), whose sum is σ = 18554664960000. Its totient is φ = 5222591909568.

The previous prime is 10112121330331. The next prime is 10112121330371. The reversal of 10112121330345 is 54303312121101.

10112121330345 is a `hidden beast` number, since 101 + 1 + 2 + 1 + 213 + 3 + 0 + 345 = 666.

It is not a de Polignac number, because 10112121330345 - 2¹⁷ = 10112121199273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8940745 + ... + 10008054.

It is an arithmetic number, because the mean of its divisors is an integer number (289916640000).

Almost surely, 2^{10112121330345} is an apocalyptic number.

10112121330345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10112121330345 is a deficient number, since it is larger than the sum of its proper divisors (8442543629655).

10112121330345 is a wasteful number, since it uses less digits than its factorization.

10112121330345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18948939 (or 18948933 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10112121330345 its reverse (54303312121101), we get a palindrome (64415433451446).

The spelling of 10112121330345 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, three hundred thirty thousand, three hundred forty-five".