100014411101 has 12 divisors (see below), whose sum is σ = 116399856636. Its totient is φ = 85573825920.

The previous prime is 100014411089. The next prime is 100014411103. The reversal of 100014411101 is 101114410001.

It can be written as a sum of positive squares in 2 ways, for example, as 38376418201 + 61637992900 = 195899^2 + 248270^2 .

It is not a de Polignac number, because 100014411101 - 2¹⁴ = 100014394717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100014411103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24308690 + ... + 24312803.

It is an arithmetic number, because the mean of its divisors is an integer number (9699988053).

Almost surely, 2^100014411101 is an apocalyptic number.

100014411101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100014411101 is a deficient number, since it is larger than the sum of its proper divisors (16385445535).

100014411101 is a wasteful number, since it uses less digits than its factorization.

100014411101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48621532 (or 48621521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100014411101 its reverse (101114410001), we get a palindrome (201128821102).

It can be divided in two parts, 100014 and 411101, that added together give a palindrome (511115).

The spelling of 100014411101 in words is "one hundred billion, fourteen million, four hundred eleven thousand, one hundred one".