1012100312223 has 192 divisors, whose sum is σ = 2124074115072. Its totient is φ = 464219268480.

The previous prime is 1012100312221. The next prime is 1012100312227. The reversal of 1012100312223 is 3222130012101.

1012100312223 is a `hidden beast` number, since 10 + 121 + 0 + 0 + 312 + 223 = 666.

It is not a de Polignac number, because 1012100312223 - 2¹ = 1012100312221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012100312196 and 1012100312205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100312221) 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 191 ways as a sum of consecutive naturals, for example, 5504136 + ... + 5685042.

It is an arithmetic number, because the mean of its divisors is an integer number (11062886016).

Almost surely, 2^{1012100312223} is an apocalyptic number.

1012100312223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1012100312223 is an abundant number, since it is smaller than the sum of its proper divisors (1111973802849).

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

1012100312223 is a wasteful number, since it uses less digits than its factorization.

1012100312223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180976 (or 180964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012100312223 its reverse (3222130012101), we get a palindrome (4234230324324).

The spelling of 1012100312223 in words is "one trillion, twelve billion, one hundred million, three hundred twelve thousand, two hundred twenty-three".