21214420101 has 60 divisors (see below), whose sum is σ = 37722286272. Its totient is φ = 11840511312.

The previous prime is 21214420069. The next prime is 21214420153. The reversal of 21214420101 is 10102441212.

21214420101 is a `hidden beast` number, since 2 + 121 + 442 + 0 + 101 = 666.

It is not a de Polignac number, because 21214420101 - 2⁵ = 21214420069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214420901) 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 59 ways as a sum of consecutive naturals, for example, 108516 + ... + 232818.

Almost surely, 2^21214420101 is an apocalyptic number.

21214420101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21214420101 is a deficient number, since it is larger than the sum of its proper divisors (16507866171).

21214420101 is a wasteful number, since it uses less digits than its factorization.

21214420101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124372 (or 124356 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21214420101 its reverse (10102441212), we get a palindrome (31316861313).

The spelling of 21214420101 in words is "twenty-one billion, two hundred fourteen million, four hundred twenty thousand, one hundred one".