10006101110120 has 32 divisors (see below), whose sum is σ = 22513829087520. Its totient is φ = 4002422383680.

The previous prime is 10006101110113. The next prime is 10006101110153. The reversal of 10006101110120 is 2101110160001.

It is a junction number, because it is equal to n+sod(n) for n = 10006101110095 and 10006101110104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11702699 + ... + 12528581.

It is an arithmetic number, because the mean of its divisors is an integer number (703557158985).

Almost surely, 2^{10006101110120} is an apocalyptic number.

10006101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006101110120 is an abundant number, since it is smaller than the sum of its proper divisors (12507727977400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10006101110120 is a wasteful number, since it uses less digits than its factorization.

10006101110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128785 (or 1128781 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10006101110120 its reverse (2101110160001), we get a palindrome (12107211270121).

The spelling of 10006101110120 in words is "ten trillion, six billion, one hundred one million, one hundred ten thousand, one hundred twenty".