101011100100011 has 16 divisors (see below), whose sum is σ = 105903676800000. Its totient is φ = 96217366941696.

The previous prime is 101011100100007. The next prime is 101011100100047. The reversal of 101011100100011 is 110001001110101.

It is a cyclic number.

It is not a de Polignac number, because 101011100100011 - 2² = 101011100100007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011100108011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42422891 + ... + 44740628.

It is an arithmetic number, because the mean of its divisors is an integer number (6618979800000).

Almost surely, 2^{101011100100011} is an apocalyptic number.

101011100100011 is a deficient number, since it is larger than the sum of its proper divisors (4892576699989).

101011100100011 is an equidigital number, since it uses as much as digits as its factorization.

101011100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87164086.

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

Adding to 101011100100011 its reverse (110001001110101), we get a palindrome (211012101210112).

The spelling of 101011100100011 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred thousand, eleven".