101100100010011 has 8 divisors (see below), whose sum is σ = 101384654081760. Its totient is φ = 100815936543168.

The previous prime is 101100100009963. The next prime is 101100100010033. The reversal of 101100100010011 is 110010001001101.

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 101100100010011 - 2²¹ = 101100097912859 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100100009976 and 101100100010003.

It is not an unprimeable number, because it can be changed into a prime (101100100080011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97132836 + ... + 98168161.

It is an arithmetic number, because the mean of its divisors is an integer number (12673081760220).

Almost surely, 2^{101100100010011} is an apocalyptic number.

101100100010011 is a deficient number, since it is larger than the sum of its proper divisors (284554071749).

101100100010011 is an equidigital number, since it uses as much as digits as its factorization.

101100100010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195302453.

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

Adding to 101100100010011 its reverse (110010001001101), we get a palindrome (211110101011112).

The spelling of 101100100010011 in words is "one hundred one trillion, one hundred billion, one hundred million, ten thousand, eleven".