10101001000101 has 8 divisors (see below), whose sum is σ = 14692365091104. Its totient is φ = 6121818787920.

The previous prime is 10101001000061. The next prime is 10101001000127. The reversal of 10101001000101 is 10100010010101.

10101001000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10101001000101 - 2¹⁰ = 10101000999077 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10101001000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001000151) 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, 153045469666 + ... + 153045469731.

It is an arithmetic number, because the mean of its divisors is an integer number (1836545636388).

Almost surely, 2^{10101001000101} is an apocalyptic number.

10101001000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101001000101 is a deficient number, since it is larger than the sum of its proper divisors (4591364091003).

10101001000101 is a wasteful number, since it uses less digits than its factorization.

10101001000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306090939411.

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

Adding to 10101001000101 its reverse (10100010010101), we get a palindrome (20201011010202).

The spelling of 10101001000101 in words is "ten trillion, one hundred one billion, one million, one hundred one", and thus it is an aban number.