101000000101101 has 8 divisors (see below), whose sum is σ = 136000000136544. Its totient is φ = 66666666733200.

The previous prime is 101000000101097. The next prime is 101000000101111. The reversal of 101000000101101 is 101101000000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101000000101101 - 2² = 101000000101097 is a prime.

101000000101101 is a modest number, since divided by 101101 gives 101 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101000000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000000101111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166666666531 + ... + 166666667136.

It is an arithmetic number, because the mean of its divisors is an integer number (17000000017068).

Almost surely, 2^{101000000101101} is an apocalyptic number.

It is an amenable number.

101000000101101 is a deficient number, since it is larger than the sum of its proper divisors (35000000035443).

101000000101101 is a wasteful number, since it uses less digits than its factorization.

101000000101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333333333771.

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

Adding to 101000000101101 its reverse (101101000000101), we get a palindrome (202101000101202).

It can be divided in two parts, 101000000101 and 101, that multiplied together give a palindrome (10201000010201).

The spelling of 101000000101101 in words is "one hundred one trillion, one hundred one thousand, one hundred one".