21105422612001 has 192 divisors, whose sum is σ = 40885251402240. Its totient is φ = 10645331558400.

The previous prime is 21105422611979. The next prime is 21105422612009. The reversal of 21105422612001 is 10021622450112.

It is a happy number.

21105422612001 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 5 + 42 + 2 + 612 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 21105422612001 - 2¹³ = 21105422603809 is a prime.

It is a super-2 number, since 2×21105422612001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21105422612009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1899159621 + ... + 1899170733.

It is an arithmetic number, because the mean of its divisors is an integer number (212944017720).

Almost surely, 2^{21105422612001} is an apocalyptic number.

21105422612001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21105422612001 is a deficient number, since it is larger than the sum of its proper divisors (19779828790239).

21105422612001 is a wasteful number, since it uses less digits than its factorization.

21105422612001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15973 (or 15960 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21105422612001 in words is "twenty-one trillion, one hundred five billion, four hundred twenty-two million, six hundred twelve thousand, one".