10100334344121 has 18 divisors (see below), whose sum is σ = 16971310089162. Its totient is φ = 5771619624960.

The previous prime is 10100334344119. The next prime is 10100334344131. The reversal of 10100334344121 is 12144343300101.

10100334344121 is a `hidden beast` number, since 1 + 0 + 100 + 3 + 3 + 434 + 4 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10094568068025 + 5766276096 = 3177195^2 + 75936^2 .

It is not a de Polignac number, because 10100334344121 - 2¹ = 10100334344119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100334344131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11451625800 + ... + 11451626681.

It is an arithmetic number, because the mean of its divisors is an integer number (942850560509).

Almost surely, 2^{10100334344121} is an apocalyptic number.

It is an amenable number.

10100334344121 is a deficient number, since it is larger than the sum of its proper divisors (6870975745041).

10100334344121 is a wasteful number, since it uses less digits than its factorization.

10100334344121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22903252501 (or 22903252491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10100334344121 its reverse (12144343300101), we get a palindrome (22244677644222).

The spelling of 10100334344121 in words is "ten trillion, one hundred billion, three hundred thirty-four million, three hundred forty-four thousand, one hundred twenty-one".