101100010100001 has 8 divisors (see below), whose sum is σ = 147054560145504. Its totient is φ = 61272733393920.

The previous prime is 101100010099967. The next prime is 101100010100077. The reversal of 101100010100001 is 100001010001101.

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

It is not a de Polignac number, because 101100010100001 - 2¹⁵ = 101100010067233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100010100501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531818334816 + ... + 1531818334881.

It is an arithmetic number, because the mean of its divisors is an integer number (18381820018188).

Almost surely, 2^{101100010100001} is an apocalyptic number.

101100010100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101100010100001 is a deficient number, since it is larger than the sum of its proper divisors (45954550045503).

101100010100001 is a wasteful number, since it uses less digits than its factorization.

101100010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063636669711.

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

Adding to 101100010100001 its reverse (100001010001101), we get a palindrome (201101020101102).

It can be divided in two parts, 10 and 1100010100001, that added together give a palindrome (1100010100011).

The spelling of 101100010100001 in words is "one hundred one trillion, one hundred billion, ten million, one hundred thousand, one".