901100101001 has 4 divisors (see below), whose sum is σ = 909074438292. Its totient is φ = 893125763712.

The previous prime is 901100100991. The next prime is 901100101007. The reversal of 901100101001 is 100101001109.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100101001109 = 81517 ⋅1227977.

It can be written as a sum of positive squares in 2 ways, for example, as 70595958601 + 830504142400 = 265699^2 + 911320^2 .

It is a cyclic number.

It is not a de Polignac number, because 901100101001 - 2⁶ = 901100100937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (901100101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3987168476 + ... + 3987168701.

It is an arithmetic number, because the mean of its divisors is an integer number (227268609573).

Almost surely, 2^901100101001 is an apocalyptic number.

It is an amenable number.

901100101001 is a deficient number, since it is larger than the sum of its proper divisors (7974337291).

901100101001 is a wasteful number, since it uses less digits than its factorization.

901100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974337290.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 901100101001 in words is "nine hundred one billion, one hundred million, one hundred one thousand, one".