10100011100011 has 8 divisors (see below), whose sum is σ = 11543100382944. Its totient is φ = 8656979455680.

The previous prime is 10100011099979. The next prime is 10100011100089. The reversal of 10100011100011 is 11000111000101.

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 10100011100011 - 2⁵ = 10100011099979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100011099967 and 10100011100003.

It is not an unprimeable number, because it can be changed into a prime (10100011700011) 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, 14033500 + ... + 14735641.

It is an arithmetic number, because the mean of its divisors is an integer number (1442887547868).

Almost surely, 2^{10100011100011} is an apocalyptic number.

10100011100011 is a deficient number, since it is larger than the sum of its proper divisors (1443089282933).

10100011100011 is an equidigital number, since it uses as much as digits as its factorization.

10100011100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28819301.

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

Adding to 10100011100011 its reverse (11000111000101), we get a palindrome (21100122100112).

The spelling of 10100011100011 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, eleven".