102112331000301 has 48 divisors (see below), whose sum is σ = 149166768022272. Its totient is φ = 67308513408000.

The previous prime is 102112331000293. The next prime is 102112331000311. The reversal of 102112331000301 is 103000133211201.

102112331000301 is a `hidden beast` number, since 1 + 0 + 21 + 12 + 331 + 0 + 0 + 0 + 301 = 666.

It is not a de Polignac number, because 102112331000301 - 2³ = 102112331000293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112331000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254773981 + ... + 255174461.

It is an arithmetic number, because the mean of its divisors is an integer number (3107641000464).

Almost surely, 2^{102112331000301} is an apocalyptic number.

It is an amenable number.

102112331000301 is a deficient number, since it is larger than the sum of its proper divisors (47054437021971).

102112331000301 is a wasteful number, since it uses less digits than its factorization.

102112331000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401514 (or 401511 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102112331000301 its reverse (103000133211201), we get a palindrome (205112464211502).

The spelling of 102112331000301 in words is "one hundred two trillion, one hundred twelve billion, three hundred thirty-one million, three hundred one", and thus it is an aban number.