10101000001101 has 64 divisors (see below), whose sum is σ = 14464218097152. Its totient is φ = 6247808000000.

The previous prime is 10101000001097. The next prime is 10101000001123. The reversal of 10101000001101 is 10110000010101.

It is a cyclic number.

It is not a de Polignac number, because 10101000001101 - 2² = 10101000001097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101000001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101000001151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2751564496 + ... + 2751568166.

It is an arithmetic number, because the mean of its divisors is an integer number (226003407768).

Almost surely, 2^{10101000001101} is an apocalyptic number.

It is an amenable number.

10101000001101 is a deficient number, since it is larger than the sum of its proper divisors (4363218096051).

10101000001101 is a wasteful number, since it uses less digits than its factorization.

10101000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974.

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

Adding to 10101000001101 its reverse (10110000010101), we get a palindrome (20211000011202).

The spelling of 10101000001101 in words is "ten trillion, one hundred one billion, one thousand, one hundred one".