10100120319 has 24 divisors (see below), whose sum is σ = 15413261760. Its totient is φ = 6362895168.

The previous prime is 10100120311. The next prime is 10100120347. The reversal of 10100120319 is 91302100101.

It is not a de Polignac number, because 10100120319 - 2³ = 10100120311 is a prime.

It is a super-2 number, since 2×10100120319² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100120311) 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 23 ways as a sum of consecutive naturals, for example, 399412 + ... + 423945.

It is an arithmetic number, because the mean of its divisors is an integer number (642219240).

Almost surely, 2^10100120319 is an apocalyptic number.

10100120319 is a deficient number, since it is larger than the sum of its proper divisors (5313141441).

10100120319 is a wasteful number, since it uses less digits than its factorization.

10100120319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823439 (or 823436 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 10100120319 in words is "ten billion, one hundred million, one hundred twenty thousand, three hundred nineteen".