10101000101101 has 16 divisors (see below), whose sum is σ = 12432120624000. Its totient is φ = 7991922616128.

The previous prime is 10101000101099. The next prime is 10101000101147. The reversal of 10101000101101 is 10110100010101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10101000101101 - 2¹ = 10101000101099 is a prime.

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

10101000101101 is a modest number, since divided by 101101 gives 101010 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000107101) 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, 10038450 + ... + 10998748.

It is an arithmetic number, because the mean of its divisors is an integer number (777007539000).

Almost surely, 2^{10101000101101} is an apocalyptic number.

It is an amenable number.

10101000101101 is a deficient number, since it is larger than the sum of its proper divisors (2331120522899).

10101000101101 is a wasteful number, since it uses less digits than its factorization.

10101000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075908.

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

Adding to 10101000101101 its reverse (10110100010101), we get a palindrome (20211100111202).

The spelling of 10101000101101 in words is "ten trillion, one hundred one billion, one hundred one thousand, one hundred one".