105121341022401 has 12 divisors (see below), whose sum is σ = 165645749490000. Its totient is φ = 63709903649880.

The previous prime is 105121341022343. The next prime is 105121341022417. The reversal of 105121341022401 is 104220143121501.

105121341022401 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 1 + 3 + 410 + 2 + 240 + 1 = 666.

It is not a de Polignac number, because 105121341022401 - 2¹⁹ = 105121340498113 is a prime.

It is a super-2 number, since 2×105121341022401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105121341022441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530915863651 + ... + 530915863848.

It is an arithmetic number, because the mean of its divisors is an integer number (13803812457500).

Almost surely, 2^{105121341022401} is an apocalyptic number.

105121341022401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105121341022401 is a deficient number, since it is larger than the sum of its proper divisors (60524408467599).

105121341022401 is a wasteful number, since it uses less digits than its factorization.

105121341022401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061831727516 (or 1061831727513 counting only the distinct ones).

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

Adding to 105121341022401 its reverse (104220143121501), we get a palindrome (209341484143902).

The spelling of 105121341022401 in words is "one hundred five trillion, one hundred twenty-one billion, three hundred forty-one million, twenty-two thousand, four hundred one".