10000100101111 has 8 divisors (see below), whose sum is σ = 10024009642544. Its totient is φ = 9976191301440.

The previous prime is 10000100101051. The next prime is 10000100101141. The reversal of 10000100101111 is 11110100100001.

It is a happy number.

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 10000100101111 - 2¹¹ = 10000100099063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000100101094 and 10000100101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100101141) 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, 34581355 + ... + 34869331.

It is an arithmetic number, because the mean of its divisors is an integer number (1253001205318).

Almost surely, 2^{10000100101111} is an apocalyptic number.

10000100101111 is a deficient number, since it is larger than the sum of its proper divisors (23909541433).

10000100101111 is an equidigital number, since it uses as much as digits as its factorization.

10000100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370881.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10000100101111 its reverse (11110100100001), we get a palindrome (21110200201112).

The spelling of 10000100101111 in words is "ten trillion, one hundred million, one hundred one thousand, one hundred eleven".