1011014102141 has 8 divisors (see below), whose sum is σ = 1076032080504. Its totient is φ = 946612408320.

The previous prime is 1011014102129. The next prime is 1011014102143. The reversal of 1011014102141 is 1412014101101.

It can be written as a sum of positive squares in 4 ways, for example, as 82122938041 + 928891164100 = 286571^2 + 963790^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1011014102141 - 2³⁴ = 993834232957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011014102143) 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, 154067750 + ... + 154074311.

It is an arithmetic number, because the mean of its divisors is an integer number (134504010063).

Almost surely, 2^{1011014102141} is an apocalyptic number.

It is an amenable number.

1011014102141 is a deficient number, since it is larger than the sum of its proper divisors (65017978363).

1011014102141 is a wasteful number, since it uses less digits than its factorization.

1011014102141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308142271.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1011014102141 its reverse (1412014101101), we get a palindrome (2423028203242).

The spelling of 1011014102141 in words is "one trillion, eleven billion, fourteen million, one hundred two thousand, one hundred forty-one".