10101101101 has 48 divisors (see below), whose sum is σ = 13099450368. Its totient is φ = 7616980800.

The previous prime is 10101101069. The next prime is 10101101137. The reversal of 10101101101 is 10110110101.

It is a happy number.

It is not a de Polignac number, because 10101101101 - 2⁵ = 10101101069 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455036 + ... + 2459146.

It is an arithmetic number, because the mean of its divisors is an integer number (272905216).

Almost surely, 2^10101101101 is an apocalyptic number.

It is an amenable number.

10101101101 is a deficient number, since it is larger than the sum of its proper divisors (2998349267).

10101101101 is a wasteful number, since it uses less digits than its factorization.

10101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4229 counting only the distinct ones).

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

Adding to 10101101101 its reverse (10110110101), we get a palindrome (20211211202).

It can be divided in two parts, 10101 and 101101, that multiplied together give a palindrome (1021221201).

The spelling of 10101101101 in words is "ten billion, one hundred one million, one hundred one thousand, one hundred one".