101020313331012 has 192 divisors, whose sum is σ = 247584312684800. Its totient is φ = 32027813683200.

The previous prime is 101020313330983. The next prime is 101020313331017. The reversal of 101020313331012 is 210133313020101.

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 101020313331012.

It is not an unprimeable number, because it can be changed into a prime (101020313331017) 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 63 ways as a sum of consecutive naturals, for example, 2707647414 + ... + 2707684722.

Almost surely, 2^{101020313331012} is an apocalyptic number.

101020313331012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020313331012 is an abundant number, since it is smaller than the sum of its proper divisors (146563999353788).

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

101020313331012 is a wasteful number, since it uses less digits than its factorization.

101020313331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38166 (or 38164 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101020313331012 its reverse (210133313020101), we get a palindrome (311153626351113).

The spelling of 101020313331012 in words is "one hundred one trillion, twenty billion, three hundred thirteen million, three hundred thirty-one thousand, twelve".