10100110020011 has 32 divisors (see below), whose sum is σ = 11267466406848. Its totient is φ = 8976689879040.

The previous prime is 10100110019981. The next prime is 10100110020029. The reversal of 10100110020011 is 11002001100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100110020011 - 2²² = 10100105825707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100110020911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74409641 + ... + 74545253.

It is an arithmetic number, because the mean of its divisors is an integer number (352108325214).

Almost surely, 2^{10100110020011} is an apocalyptic number.

10100110020011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100110020011 is a deficient number, since it is larger than the sum of its proper divisors (1167356386837).

10100110020011 is a wasteful number, since it uses less digits than its factorization.

10100110020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136511.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100110020011 its reverse (11002001100101), we get a palindrome (21102111120112).

The spelling of 10100110020011 in words is "ten trillion, one hundred billion, one hundred ten million, twenty thousand, eleven".