100103312012112 has 60 divisors (see below), whose sum is σ = 280763261662260. Its totient is φ = 33294755833344.

The previous prime is 100103312012111. The next prime is 100103312012113. The reversal of 100103312012112 is 211210213301001.

100103312012112 is a `hidden beast` number, since 10 + 0 + 10 + 331 + 201 + 2 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (100103312012111) and next prime (100103312012113).

It can be written as a sum of positive squares in 2 ways, for example, as 65843876851776 + 34259435160336 = 8114424^2 + 5853156^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103312012111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 760505187 + ... + 760636802.

It is an arithmetic number, because the mean of its divisors is an integer number (4679387694371).

Almost surely, 2^{100103312012112} is an apocalyptic number.

100103312012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100103312012112 is an abundant number, since it is smaller than the sum of its proper divisors (180659949650148).

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

100103312012112 is a wasteful number, since it uses less digits than its factorization.

100103312012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521142460 (or 1521142451 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100103312012112 its reverse (211210213301001), we get a palindrome (311313525313113).

The spelling of 100103312012112 in words is "one hundred trillion, one hundred three billion, three hundred twelve million, twelve thousand, one hundred twelve".