10705100121 has 12 divisors (see below), whose sum is σ = 15465712548. Its totient is φ = 7135445664.

The previous prime is 10705100101. The next prime is 10705100171. The reversal of 10705100121 is 12100150701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1380494025 + 9324606096 = 37155^2 + 96564^2 .

It is not a de Polignac number, because 10705100121 - 2¹⁸ = 10704837977 is a prime.

It is a super-2 number, since 2×10705100121² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10705100094 and 10705100103.

It is not an unprimeable number, because it can be changed into a prime (10705100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53230 + ... + 155703.

It is an arithmetic number, because the mean of its divisors is an integer number (1288809379).

Almost surely, 2^10705100121 is an apocalyptic number.

It is an amenable number.

10705100121 is a deficient number, since it is larger than the sum of its proper divisors (4760612427).

10705100121 is a wasteful number, since it uses less digits than its factorization.

10705100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214632 (or 214629 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 10705100121 its reverse (12100150701), we get a palindrome (22805250822).

The spelling of 10705100121 in words is "ten billion, seven hundred five million, one hundred thousand, one hundred twenty-one".