10100334344123 has 32 divisors (see below), whose sum is σ = 10473079680000. Its totient is φ = 9736816320000.

The previous prime is 10100334344119. The next prime is 10100334344131. The reversal of 10100334344123 is 32144343300101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100334344123 - 2² = 10100334344119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100334344143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240468878 + ... + 240510876.

It is an arithmetic number, because the mean of its divisors is an integer number (327283740000).

Almost surely, 2^{10100334344123} is an apocalyptic number.

10100334344123 is a deficient number, since it is larger than the sum of its proper divisors (372745335877).

10100334344123 is a wasteful number, since it uses less digits than its factorization.

10100334344123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42563.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 10100334344123 its reverse (32144343300101), we get a palindrome (42244677644224).

The spelling of 10100334344123 in words is "ten trillion, one hundred billion, three hundred thirty-four million, three hundred forty-four thousand, one hundred twenty-three".