100010010001011 has 64 divisors (see below), whose sum is σ = 151175314538496. Its totient is φ = 58284496512000.

The previous prime is 100010010000977. The next prime is 100010010001021. The reversal of 100010010001011 is 110100010010001.

It is not a de Polignac number, because 100010010001011 - 2¹⁰ = 100010009999987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010010001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38543811 + ... + 41056611.

It is an arithmetic number, because the mean of its divisors is an integer number (2362114289664).

Almost surely, 2^{100010010001011} is an apocalyptic number.

100010010001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100010010001011 is a deficient number, since it is larger than the sum of its proper divisors (51165304537485).

100010010001011 is a wasteful number, since it uses less digits than its factorization.

100010010001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513312.

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

Adding to 100010010001011 its reverse (110100010010001), we get a palindrome (210110020011012).

The spelling of 100010010001011 in words is "one hundred trillion, ten billion, ten million, one thousand, eleven".