10100101110011 has 8 divisors (see below), whose sum is σ = 11018653540464. Its totient is φ = 9181608916320.

The previous prime is 10100101109999. The next prime is 10100101110017. The reversal of 10100101110011 is 11001110100101.

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 10100101110011 - 2⁶ = 10100101109947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100101110017) 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, 14708240 + ... + 15379613.

It is an arithmetic number, because the mean of its divisors is an integer number (1377331692558).

Almost surely, 2^{10100101110011} is an apocalyptic number.

10100101110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100101110011 is a deficient number, since it is larger than the sum of its proper divisors (918552430453).

10100101110011 is a wasteful number, since it uses less digits than its factorization.

10100101110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30118381.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100101110011 its reverse (11001110100101), we get a palindrome (21101211210112).

It can be divided in two parts, 10100101 and 110011, that multiplied together give a palindrome (1111122211111).

The spelling of 10100101110011 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, eleven".