10121012031300 has 144 divisors (see below), whose sum is σ = 31107019648320. Its totient is φ = 2531900989440.

The previous prime is 10121012031239. The next prime is 10121012031301. The reversal of 10121012031300 is 313021012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10121012031300.

It is not an unprimeable number, because it can be changed into a prime (10121012031301) 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 47 ways as a sum of consecutive naturals, for example, 1666405 + ... + 4797804.

It is an arithmetic number, because the mean of its divisors is an integer number (216020969780).

Almost surely, 2^{10121012031300} is an apocalyptic number.

10121012031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121012031300 is an abundant number, since it is smaller than the sum of its proper divisors (20986007617020).

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

10121012031300 is a wasteful number, since it uses less digits than its factorization.

10121012031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464550 (or 6464543 counting only the distinct ones).

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

Adding to 10121012031300 its reverse (313021012101), we get a palindrome (10434033043401).

The spelling of 10121012031300 in words is "ten trillion, one hundred twenty-one billion, twelve million, thirty-one thousand, three hundred".