10100000110101 has 8 divisors (see below), whose sum is σ = 14690909251104. Its totient is φ = 6121212187920.

The previous prime is 10100000110093. The next prime is 10100000110103. The reversal of 10100000110101 is 10101100000101.

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

It is not a de Polignac number, because 10100000110101 - 2³ = 10100000110093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100000110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000110103) 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, 153030304666 + ... + 153030304731.

It is an arithmetic number, because the mean of its divisors is an integer number (1836363656388).

Almost surely, 2^{10100000110101} is an apocalyptic number.

10100000110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100000110101 is a deficient number, since it is larger than the sum of its proper divisors (4590909141003).

10100000110101 is a wasteful number, since it uses less digits than its factorization.

10100000110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306060609411.

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

Adding to 10100000110101 its reverse (10101100000101), we get a palindrome (20201100110202).

The spelling of 10100000110101 in words is "ten trillion, one hundred billion, one hundred ten thousand, one hundred one".