10010000101107 has 32 divisors (see below), whose sum is σ = 13691983979520. Its totient is φ = 6503036682240.

The previous prime is 10010000101099. The next prime is 10010000101111. The reversal of 10010000101107 is 70110100001001.

It is not a de Polignac number, because 10010000101107 - 2³ = 10010000101099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010000101092 and 10010000101101.

It is not an unprimeable number, because it can be changed into a prime (10010000101177) 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, 15573298 + ... + 16203320.

It is an arithmetic number, because the mean of its divisors is an integer number (427874499360).

Almost surely, 2^{10010000101107} is an apocalyptic number.

10010000101107 is a deficient number, since it is larger than the sum of its proper divisors (3681983878413).

10010000101107 is an equidigital number, since it uses as much as digits as its factorization.

10010000101107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630963.

The product of its (nonzero) digits is 7, while the sum is 12.

Adding to 10010000101107 its reverse (70110100001001), we get a palindrome (80120100102108).

The spelling of 10010000101107 in words is "ten trillion, ten billion, one hundred one thousand, one hundred seven".