10321021131012 has 18 divisors (see below), whose sum is σ = 26089247859038. Its totient is φ = 3440340376992.

The previous prime is 10321021131011. The next prime is 10321021131041. The reversal of 10321021131012 is 21013112012301.

10321021131012 is a `hidden beast` number, since 1 + 0 + 321 + 0 + 21 + 1 + 310 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5308858377216 + 5012162753796 = 2304096^2 + 2238786^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10321021131011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 143347515673 + ... + 143347515744.

Almost surely, 2^{10321021131012} is an apocalyptic number.

10321021131012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10321021131012 is an abundant number, since it is smaller than the sum of its proper divisors (15768226728026).

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

10321021131012 is a wasteful number, since it uses less digits than its factorization.

10321021131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286695031427 (or 286695031422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10321021131012 its reverse (21013112012301), we get a palindrome (31334133143313).

The spelling of 10321021131012 in words is "ten trillion, three hundred twenty-one billion, twenty-one million, one hundred thirty-one thousand, twelve".