101100100010001 has 4 divisors (see below), whose sum is σ = 134800133346672. Its totient is φ = 67400066673332.

The previous prime is 101100100009963. The next prime is 101100100010033. The reversal of 101100100010001 is 100010001001101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101100100010001 - 2²⁶ = 101100032901137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101100100010401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16850016668331 + ... + 16850016668336.

It is an arithmetic number, because the mean of its divisors is an integer number (33700033336668).

Almost surely, 2^{101100100010001} is an apocalyptic number.

It is an amenable number.

101100100010001 is a deficient number, since it is larger than the sum of its proper divisors (33700033336671).

101100100010001 is an equidigital number, since it uses as much as digits as its factorization.

101100100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33700033336670.

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

Adding to 101100100010001 its reverse (100010001001101), we get a palindrome (201110101011102).

It can be divided in two parts, 10 and 1100100010001, that added together give a palindrome (1100100010011).

The spelling of 101100100010001 in words is "one hundred one trillion, one hundred billion, one hundred million, ten thousand, one".