101101110100001 has 8 divisors (see below), whose sum is σ = 112100187652608. Its totient is φ = 90403377138000.

The previous prime is 101101110099961. The next prime is 101101110100007. The reversal of 101101110100001 is 100001011101101.

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

It is a cyclic number.

It is not a de Polignac number, because 101101110100001 - 2⁶ = 101101110099937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101110100007) 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, 75336146945 + ... + 75336148286.

It is an arithmetic number, because the mean of its divisors is an integer number (14012523456576).

Almost surely, 2^{101101110100001} is an apocalyptic number.

101101110100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101110100001 is a deficient number, since it is larger than the sum of its proper divisors (10999077552607).

101101110100001 is a wasteful number, since it uses less digits than its factorization.

101101110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150672295303.

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

Adding to 101101110100001 its reverse (100001011101101), we get a palindrome (201102121201102).

It can be divided in two parts, 10110 and 1110100001, that added together give a palindrome (1110110111).

The spelling of 101101110100001 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred thousand, one".