21121000461351 has 48 divisors (see below), whose sum is σ = 37393968867840. Its totient is φ = 11218190592960.

The previous prime is 21121000461347. The next prime is 21121000461367. The reversal of 21121000461351 is 15316400012112.

21121000461351 is a `hidden beast` number, since 21 + 1 + 21 + 0 + 0 + 0 + 4 + 613 + 5 + 1 = 666.

It is not a de Polignac number, because 21121000461351 - 2² = 21121000461347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121000461371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166398315 + ... + 166525196.

It is an arithmetic number, because the mean of its divisors is an integer number (779041018080).

Almost surely, 2^{21121000461351} is an apocalyptic number.

21121000461351 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21121000461351 is a deficient number, since it is larger than the sum of its proper divisors (16272968406489).

21121000461351 is a wasteful number, since it uses less digits than its factorization.

21121000461351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332923596 (or 332923593 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 21121000461351 its reverse (15316400012112), we get a palindrome (36437400473463).

The spelling of 21121000461351 in words is "twenty-one trillion, one hundred twenty-one billion, four hundred sixty-one thousand, three hundred fifty-one".