10100100001011 has 16 divisors (see below), whose sum is σ = 13830961399200. Its totient is φ = 6551324402688.

The previous prime is 10100100000997. The next prime is 10100100001021. The reversal of 10100100001011 is 11010000100101.

It is not a de Polignac number, because 10100100001011 - 2¹⁴ = 10100099984627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100100001021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7821795 + ... + 9021123.

It is an arithmetic number, because the mean of its divisors is an integer number (864435087450).

Almost surely, 2^{10100100001011} is an apocalyptic number.

10100100001011 is a deficient number, since it is larger than the sum of its proper divisors (3730861398189).

10100100001011 is a wasteful number, since it uses less digits than its factorization.

10100100001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275238.

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

Adding to 10100100001011 its reverse (11010000100101), we get a palindrome (21110100101112).

The spelling of 10100100001011 in words is "ten trillion, one hundred billion, one hundred million, one thousand, eleven".