100010100001011 has 128 divisors (see below), whose sum is σ = 150209108640000. Its totient is φ = 58911414681600.

The previous prime is 100010100000989. The next prime is 100010100001027. The reversal of 100010100001011 is 110100001010001.

It is not a de Polignac number, because 100010100001011 - 2³⁴ = 99992920131827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010100002011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1505032315 + ... + 1505098763.

It is an arithmetic number, because the mean of its divisors is an integer number (1173508661250).

Almost surely, 2^{100010100001011} is an apocalyptic number.

100010100001011 is a deficient number, since it is larger than the sum of its proper divisors (50199008638989).

100010100001011 is a wasteful number, since it uses less digits than its factorization.

100010100001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66809.

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

Adding to 100010100001011 its reverse (110100001010001), we get a palindrome (210110101011012).

The spelling of 100010100001011 in words is "one hundred trillion, ten billion, one hundred million, one thousand, eleven".