10100101011 has 64 divisors (see below), whose sum is σ = 18570187776. Its totient is φ = 4712256000.

The previous prime is 10100101001. The next prime is 10100101031. The reversal of 10100101011 is 11010100101.

It is not a de Polignac number, because 10100101011 - 2⁹ = 10100100499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100101001) 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, 65661 + ... + 156561.

It is an arithmetic number, because the mean of its divisors is an integer number (290159184).

Almost surely, 2^10100101011 is an apocalyptic number.

10100101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100101011 is a deficient number, since it is larger than the sum of its proper divisors (8470086765).

10100101011 is a wasteful number, since it uses less digits than its factorization.

10100101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90972.

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

Adding to 10100101011 its reverse (11010100101), we get a palindrome (21110201112).

It can be divided in two parts, 10100 and 101011, that added together give a palindrome (111111).

The spelling of 10100101011 in words is "ten billion, one hundred million, one hundred one thousand, eleven".