10101000112007 has 8 divisors (see below), whose sum is σ = 11812465247616. Its totient is φ = 8456651256312.

The previous prime is 10101000111997. The next prime is 10101000112019. The reversal of 10101000112007 is 70021100010101.

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

It is not a de Polignac number, because 10101000112007 - 2²⁰ = 10100999063431 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101000111982 and 10101000112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000115007) 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, 16779069653 + ... + 16779070254.

It is an arithmetic number, because the mean of its divisors is an integer number (1476558155952).

Almost surely, 2^{10101000112007} is an apocalyptic number.

10101000112007 is a deficient number, since it is larger than the sum of its proper divisors (1711465135609).

10101000112007 is an equidigital number, since it uses as much as digits as its factorization.

10101000112007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33558139957.

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

Adding to 10101000112007 its reverse (70021100010101), we get a palindrome (80122100122108).

The spelling of 10101000112007 in words is "ten trillion, one hundred one billion, one hundred twelve thousand, seven".