21213612514601 has 32 divisors (see below), whose sum is σ = 23990362048128. Its totient is φ = 18628954490880.

The previous prime is 21213612514583. The next prime is 21213612514643. The reversal of 21213612514601 is 10641521631212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 21213612514601 - 2⁴² = 16815566003497 is a prime.

It is a super-3 number, since 3×21213612514601³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21213612514681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133546 + ... + 6611516.

It is an arithmetic number, because the mean of its divisors is an integer number (749698814004).

Almost surely, 2^{21213612514601} is an apocalyptic number.

It is an amenable number.

21213612514601 is a deficient number, since it is larger than the sum of its proper divisors (2776749533527).

21213612514601 is a wasteful number, since it uses less digits than its factorization.

21213612514601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478201.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 21213612514601 in words is "twenty-one trillion, two hundred thirteen billion, six hundred twelve million, five hundred fourteen thousand, six hundred one".