10100011102107 has 16 divisors (see below), whose sum is σ = 13494479772672. Its totient is φ = 6719442339680.

The previous prime is 10100011102081. The next prime is 10100011102169. The reversal of 10100011102107 is 70120111000101.

It is a cyclic number.

It is not a de Polignac number, because 10100011102107 - 2¹⁹ = 10100010577819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100011102177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72338518 + ... + 72478004.

It is an arithmetic number, because the mean of its divisors is an integer number (843404985792).

Almost surely, 2^{10100011102107} is an apocalyptic number.

10100011102107 is a deficient number, since it is larger than the sum of its proper divisors (3394468670565).

10100011102107 is a wasteful number, since it uses less digits than its factorization.

10100011102107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189138.

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 10100011102107 its reverse (70120111000101), we get a palindrome (80220122102208).

The spelling of 10100011102107 in words is "ten trillion, one hundred billion, eleven million, one hundred two thousand, one hundred seven".