100100010010011 has 64 divisors (see below), whose sum is σ = 146434289025024. Its totient is φ = 60319876204800.

The previous prime is 100100010009991. The next prime is 100100010010069. The reversal of 100100010010011 is 110010010001001.

It is not a de Polignac number, because 100100010010011 - 2⁶ = 100100010009947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100010010811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27477354756 + ... + 27477358398.

It is an arithmetic number, because the mean of its divisors is an integer number (2288035766016).

Almost surely, 2^{100100010010011} is an apocalyptic number.

100100010010011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100010010011 is a deficient number, since it is larger than the sum of its proper divisors (46334279015013).

100100010010011 is a wasteful number, since it uses less digits than its factorization.

100100010010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024.

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

Adding to 100100010010011 its reverse (110010010001001), we get a palindrome (210110020011012).

It can be divided in two parts, 1001000 and 10010011, that added together give a palindrome (11011011).

The spelling of 100100010010011 in words is "one hundred trillion, one hundred billion, ten million, ten thousand, eleven".