1014461411101 has 16 divisors (see below), whose sum is σ = 1111796852400. Its totient is φ = 921347417088.

The previous prime is 1014461411083. The next prime is 1014461411123. The reversal of 1014461411101 is 1011141644101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 252105414201 + 762355996900 = 502101^2 + 873130^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014461411101 - 2⁷ = 1014461410973 is a prime.

It is a super-2 number, since 2×1014461411101² (a number of 25 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 (1014461411191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306871 + ... + 1457083.

It is an arithmetic number, because the mean of its divisors is an integer number (69487303275).

Almost surely, 2^{1014461411101} is an apocalyptic number.

It is an amenable number.

1014461411101 is a deficient number, since it is larger than the sum of its proper divisors (97335441299).

1014461411101 is a wasteful number, since it uses less digits than its factorization.

1014461411101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152048.

The product of its (nonzero) digits is 384, while the sum is 25.

The spelling of 1014461411101 in words is "one trillion, fourteen billion, four hundred sixty-one million, four hundred eleven thousand, one hundred one".