101100101011 has 32 divisors (see below), whose sum is σ = 128509452288. Its totient is φ = 77371960320.

The previous prime is 101100100987. The next prime is 101100101021. The reversal of 101100101011 is 110101001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101100101011 - 2¹¹ = 101100098963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101100100985 and 101100101003.

It is not an unprimeable number, because it can be changed into a prime (101100101021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6404250 + ... + 6420016.

It is an arithmetic number, because the mean of its divisors is an integer number (4015920384).

Almost surely, 2^101100101011 is an apocalyptic number.

101100101011 is a deficient number, since it is larger than the sum of its proper divisors (27409351277).

101100101011 is a wasteful number, since it uses less digits than its factorization.

101100101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18091.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101100101011 its reverse (110101001101), we get a palindrome (211201102112).

The spelling of 101100101011 in words is "one hundred one billion, one hundred million, one hundred one thousand, eleven".