10000101111107 has 8 divisors (see below), whose sum is σ = 10036657833456. Its totient is φ = 9963552985632.

The previous prime is 10000101111101. The next prime is 10000101111149. The reversal of 10000101111107 is 70111110100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000101111107 - 2¹² = 10000101107011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000101111091 and 10000101111100.

It is not an unprimeable number, because it can be changed into a prime (10000101111101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186113 + ... + 4476029.

It is an arithmetic number, because the mean of its divisors is an integer number (1254582229182).

Almost surely, 2^{10000101111107} is an apocalyptic number.

10000101111107 is a deficient number, since it is larger than the sum of its proper divisors (36556722349).

10000101111107 is an equidigital number, since it uses as much as digits as its factorization.

10000101111107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298437.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 10000101111107 its reverse (70111110100001), we get a palindrome (80111211211108).

The spelling of 10000101111107 in words is "ten trillion, one hundred one million, one hundred eleven thousand, one hundred seven".