21121310314415 has 96 divisors (see below), whose sum is σ = 28762326028800. Its totient is φ = 14842583562240.

The previous prime is 21121310314409. The next prime is 21121310314417. The reversal of 21121310314415 is 51441301312112.

It is not a de Polignac number, because 21121310314415 - 2¹⁶ = 21121310248879 is a prime.

It is a super-2 number, since 2×21121310314415² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121310314417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3191008976 + ... + 3191015594.

It is an arithmetic number, because the mean of its divisors is an integer number (299607562800).

Almost surely, 2^{21121310314415} is an apocalyptic number.

21121310314415 is a deficient number, since it is larger than the sum of its proper divisors (7641015714385).

21121310314415 is a wasteful number, since it uses less digits than its factorization.

21121310314415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8368 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 21121310314415 its reverse (51441301312112), we get a palindrome (72562611626527).

The spelling of 21121310314415 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred ten million, three hundred fourteen thousand, four hundred fifteen".