101100001000001 has 8 divisors (see below), whose sum is σ = 108086351727744. Its totient is φ = 94229127144000.

The previous prime is 101100000999937. The next prime is 101100001000099. The reversal of 101100001000001 is 100000100001101.

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

It is not a de Polignac number, because 101100001000001 - 2⁶ = 101100000999937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100001000301) 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, 28869216125 + ... + 28869219626.

It is an arithmetic number, because the mean of its divisors is an integer number (13510793965968).

Almost surely, 2^{101100001000001} is an apocalyptic number.

It is an amenable number.

101100001000001 is a deficient number, since it is larger than the sum of its proper divisors (6986350727743).

101100001000001 is a wasteful number, since it uses less digits than its factorization.

101100001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57738435871.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101100001000001 its reverse (100000100001101), we get a palindrome (201100101001102).

It can be divided in two parts, 10 and 1100001000001, that added together give a palindrome (1100001000011).

The spelling of 101100001000001 in words is "one hundred one trillion, one hundred billion, one million, one", and thus it is an aban number.