101203331021312 has 80 divisors (see below), whose sum is σ = 218891848957320. Its totient is φ = 46467212378112.

The previous prime is 101203331021281. The next prime is 101203331021333. The reversal of 101203331021312 is 213120133302101.

It can be written as a sum of positive squares in 4 ways, for example, as 46637098506496 + 54566232514816 = 6829136^2 + 7386896^2 .

It is a super-2 number, since 2×101203331021312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38106137 + ... + 40675352.

Almost surely, 2^{101203331021312} is an apocalyptic number.

It is an amenable number.

101203331021312 is an abundant number, since it is smaller than the sum of its proper divisors (117688517936008).

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

101203331021312 is an equidigital number, since it uses as much as digits as its factorization.

101203331021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78781713 (or 78781697 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101203331021312 its reverse (213120133302101), we get a palindrome (314323464323413).

The spelling of 101203331021312 in words is "one hundred one trillion, two hundred three billion, three hundred thirty-one million, twenty-one thousand, three hundred twelve".