105201555121 has 12 divisors (see below), whose sum is σ = 113964716928. Its totient is φ = 97068005424.

The previous prime is 105201555083. The next prime is 105201555127. The reversal of 105201555121 is 121555102501.

It is not a de Polignac number, because 105201555121 - 2¹¹ = 105201553073 is a prime.

It is a super-2 number, since 2×105201555121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105201555121.

It is not an unprimeable number, because it can be changed into a prime (105201555127) 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 11 ways as a sum of consecutive naturals, for example, 272116 + ... + 533338.

It is an arithmetic number, because the mean of its divisors is an integer number (9497059744).

Almost surely, 2^105201555121 is an apocalyptic number.

It is an amenable number.

105201555121 is a deficient number, since it is larger than the sum of its proper divisors (8763161807).

105201555121 is a wasteful number, since it uses less digits than its factorization.

105201555121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263632 (or 263619 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 28.

Adding to 105201555121 its reverse (121555102501), we get a palindrome (226756657622).

The spelling of 105201555121 in words is "one hundred five billion, two hundred one million, five hundred fifty-five thousand, one hundred twenty-one".