101101101000101 has 16 divisors (see below), whose sum is σ = 102144390201216. Its totient is φ = 100058649000000.

The previous prime is 101101101000073. The next prime is 101101101000121. The reversal of 101101101000101 is 101000101101101.

It is a cyclic number.

It is not a de Polignac number, because 101101101000101 - 2³⁸ = 100826223093157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101101000121) 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, 4002247811 + ... + 4002273071.

It is an arithmetic number, because the mean of its divisors is an integer number (6384024387576).

Almost surely, 2^{101101101000101} is an apocalyptic number.

It is an amenable number.

101101101000101 is a deficient number, since it is larger than the sum of its proper divisors (1043289201115).

101101101000101 is a wasteful number, since it uses less digits than its factorization.

101101101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40204.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101101101000101 its reverse (101000101101101), we get a palindrome (202101202101202).

It can be divided in two parts, 101101101000 and 101, that added together give a palindrome (101101101101).

The spelling of 101101101000101 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred one", and thus it is an aban number.