901411101114109 has 8 divisors (see below), whose sum is σ = 958428736606080. Its totient is φ = 844837182630336.

The previous prime is 901411101114049. The next prime is 901411101114163.

901411101114109 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 901411101114109 - 2²⁵ = 901411067559677 is a prime.

It is a super-2 number, since 2×901411101114109² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901411101114179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110929247859 + ... + 110929255984.

It is an arithmetic number, because the mean of its divisors is an integer number (119803592075760).

Almost surely, 2^{901411101114109} is an apocalyptic number.

It is an amenable number.

901411101114109 is a deficient number, since it is larger than the sum of its proper divisors (57017635491971).

901411101114109 is a wasteful number, since it uses less digits than its factorization.

901411101114109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221858504099.

The product of its (nonzero) digits is 1296, while the sum is 34.

It can be divided in two parts, 90141110 and 1114109, that added together give a palindrome (91255219).

The spelling of 901411101114109 in words is "nine hundred one trillion, four hundred eleven billion, one hundred one million, one hundred fourteen thousand, one hundred nine".