10100120107 has 24 divisors (see below), whose sum is σ = 12696511968. Its totient is φ = 7864792320.

The previous prime is 10100120083. The next prime is 10100120117. The reversal of 10100120107 is 70102100101.

10100120107 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100120107 - 2¹⁹ = 10099595819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100120117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586643 + ... + 1592995.

It is an arithmetic number, because the mean of its divisors is an integer number (529021332).

Almost surely, 2^10100120107 is an apocalyptic number.

10100120107 is a deficient number, since it is larger than the sum of its proper divisors (2596391861).

10100120107 is a wasteful number, since it uses less digits than its factorization.

10100120107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 10100120107 its reverse (70102100101), we get a palindrome (80202220208).

The spelling of 10100120107 in words is "ten billion, one hundred million, one hundred twenty thousand, one hundred seven".