101101012110001 has 8 divisors (see below), whose sum is σ = 102170125800000. Its totient is φ = 100033233980400.

The previous prime is 101101012109963. The next prime is 101101012110023. The reversal of 101101012110001 is 100011210101101.

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 101101012110001 - 2¹⁹ = 101101011585713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101012110001.

It is not an unprimeable number, because it can be changed into a prime (101101012110061) 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, 333737901 + ... + 334040698.

It is an arithmetic number, because the mean of its divisors is an integer number (12771265725000).

Almost surely, 2^{101101012110001} is an apocalyptic number.

It is an amenable number.

101101012110001 is a deficient number, since it is larger than the sum of its proper divisors (1069113689999).

101101012110001 is a wasteful number, since it uses less digits than its factorization.

101101012110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667780199.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101101012110001 its reverse (100011210101101), we get a palindrome (201112222211102).

The spelling of 101101012110001 in words is "one hundred one trillion, one hundred one billion, twelve million, one hundred ten thousand, one".