101031123012 has 288 divisors, whose sum is σ = 270807473664. Its totient is φ = 29185228800.

The previous prime is 101031123001. The next prime is 101031123073. The reversal of 101031123012 is 210321130101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101031122982 and 101031123000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372808437 + ... + 372808707.

It is an arithmetic number, because the mean of its divisors is an integer number (940303728).

Almost surely, 2^101031123012 is an apocalyptic number.

101031123012 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 101031123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135403736832).

101031123012 is an abundant number, since it is smaller than the sum of its proper divisors (169776350652).

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

101031123012 is a wasteful number, since it uses less digits than its factorization.

101031123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101031123012 its reverse (210321130101), we get a palindrome (311352253113).

The spelling of 101031123012 in words is "one hundred one billion, thirty-one million, one hundred twenty-three thousand, twelve".