101001011011101 has 6 divisors (see below), whose sum is σ = 145890349238270. Its totient is φ = 67334007340728.

The previous prime is 101001011011097. The next prime is 101001011011133. The reversal of 101001011011101 is 101110110100101.

It can be written as a sum of positive squares in only one way, i.e., 93783051747225 + 7217959263876 = 9684165^2 + 2686626^2 .

It is not a de Polignac number, because 101001011011101 - 2² = 101001011011097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222334556789 = 101001011011101 / (1 + 0 + 1 + 0 + 0 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001011011151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611167278386 + ... + 5611167278403.

Almost surely, 2^{101001011011101} is an apocalyptic number.

It is an amenable number.

101001011011101 is a deficient number, since it is larger than the sum of its proper divisors (44889338227169).

101001011011101 is a wasteful number, since it uses less digits than its factorization.

101001011011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222334556795 (or 11222334556792 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101001011011101 its reverse (101110110100101), we get a palindrome (202111121111202).

It can be divided in two parts, 10100101 and 1011101, that multiplied together give a palindrome (10212222221201).

The spelling of 101001011011101 in words is "one hundred one trillion, one billion, eleven million, eleven thousand, one hundred one".