21106755201 has 16 divisors (see below), whose sum is σ = 33200181248. Its totient is φ = 11671938000.

The previous prime is 21106755181. The next prime is 21106755223. The reversal of 21106755201 is 10255760112.

It is not a de Polignac number, because 21106755201 - 2¹³ = 21106747009 is a prime.

It is a super-2 number, since 2×21106755201² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21106755281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16210375 + ... + 16211676.

It is an arithmetic number, because the mean of its divisors is an integer number (2075011328).

Almost surely, 2^21106755201 is an apocalyptic number.

21106755201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21106755201 is a deficient number, since it is larger than the sum of its proper divisors (12093426047).

21106755201 is a wasteful number, since it uses less digits than its factorization.

21106755201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32422092.

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 21106755201 in words is "twenty-one billion, one hundred six million, seven hundred fifty-five thousand, two hundred one".