21121654142133 has 12 divisors (see below), whose sum is σ = 30560504651820. Its totient is φ = 14057357222016.

The previous prime is 21121654142119. The next prime is 21121654142143. The reversal of 21121654142133 is 33124145612112.

21121654142133 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 165 + 41 + 421 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4049403609969 + 17072250532164 = 2012313^2 + 4131858^2 .

It is not a de Polignac number, because 21121654142133 - 2¹⁷ = 21121654011061 is a prime.

It is a super-2 number, since 2×21121654142133² (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 (21121654142143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1978789318 + ... + 1978799991.

It is an arithmetic number, because the mean of its divisors is an integer number (2546708720985).

Almost surely, 2^{21121654142133} is an apocalyptic number.

It is an amenable number.

21121654142133 is a deficient number, since it is larger than the sum of its proper divisors (9438850509687).

21121654142133 is a wasteful number, since it uses less digits than its factorization.

21121654142133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957589908 (or 3957589905 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 21121654142133 its reverse (33124145612112), we get a palindrome (54245799754245).

The spelling of 21121654142133 in words is "twenty-one trillion, one hundred twenty-one billion, six hundred fifty-four million, one hundred forty-two thousand, one hundred thirty-three".