101000111010101 has 8 divisors (see below), whose sum is σ = 101513256217560. Its totient is φ = 100486970391808.

The previous prime is 101000111010089. The next prime is 101000111010103. The reversal of 101000111010101 is 101010111000101.

It can be written as a sum of positive squares in 4 ways, for example, as 19156859691025 + 81843251319076 = 4376855^2 + 9046726^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000111010101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000111010103) 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, 48403385 + ... + 50446881.

It is an arithmetic number, because the mean of its divisors is an integer number (12689157027195).

Almost surely, 2^{101000111010101} is an apocalyptic number.

It is an amenable number.

101000111010101 is a deficient number, since it is larger than the sum of its proper divisors (513145207459).

101000111010101 is a wasteful number, since it uses less digits than its factorization.

101000111010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294583.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101000111010101 its reverse (101010111000101), we get a palindrome (202010222010202).

The spelling of 101000111010101 in words is "one hundred one trillion, one hundred eleven million, ten thousand, one hundred one".