101412011331012 has 48 divisors (see below), whose sum is σ = 250592705681472. Its totient is φ = 31809769973760.

The previous prime is 101412011330969. The next prime is 101412011331019. The reversal of 101412011331012 is 210133110214101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101412011331012.

It is not an unprimeable number, because it can be changed into a prime (101412011331019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43894338 + ... + 46146905.

It is an arithmetic number, because the mean of its divisors is an integer number (5220681368364).

Almost surely, 2^{101412011331012} is an apocalyptic number.

101412011331012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101412011331012 is an abundant number, since it is smaller than the sum of its proper divisors (149180694350460).

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

101412011331012 is a wasteful number, since it uses less digits than its factorization.

101412011331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90046788 (or 90046786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101412011331012 its reverse (210133110214101), we get a palindrome (311545121545113).

The spelling of 101412011331012 in words is "one hundred one trillion, four hundred twelve billion, eleven million, three hundred thirty-one thousand, twelve".