100010010100011 has 12 divisors (see below), whose sum is σ = 146571144279336. Its totient is φ = 60612127333120.

The previous prime is 100010010099977. The next prime is 100010010100019. The reversal of 100010010100011 is 110001010010001.

It is not a de Polignac number, because 100010010100011 - 2¹⁰ = 100010010098987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010010100019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137754834486 + ... + 137754835211.

It is an arithmetic number, because the mean of its divisors is an integer number (12214262023278).

Almost surely, 2^{100010010100011} is an apocalyptic number.

100010010100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100010010100011 is a deficient number, since it is larger than the sum of its proper divisors (46561134179325).

100010010100011 is a wasteful number, since it uses less digits than its factorization.

100010010100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275509669722 (or 275509669711 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010010100011 its reverse (110001010010001), we get a palindrome (210011020110012).

It can be divided in two parts, 1000100 and 10100011, that added together give a palindrome (11100111).

The spelling of 100010010100011 in words is "one hundred trillion, ten billion, ten million, one hundred thousand, eleven".