1012135224441 has 24 divisors (see below), whose sum is σ = 1485984719520. Its totient is φ = 612325616320.

The previous prime is 1012135224389. The next prime is 1012135224481. The reversal of 1012135224441 is 1444225312101.

It is not a de Polignac number, because 1012135224441 - 2¹⁴ = 1012135208057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1012135224399 and 1012135224408.

It is not an unprimeable number, because it can be changed into a prime (1012135224481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2271876 + ... + 2680613.

It is an arithmetic number, because the mean of its divisors is an integer number (61916029980).

Almost surely, 2^{1012135224441} is an apocalyptic number.

1012135224441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012135224441 is a deficient number, since it is larger than the sum of its proper divisors (473849495079).

1012135224441 is a wasteful number, since it uses less digits than its factorization.

1012135224441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953077 (or 4953066 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 1012135224441 in words is "one trillion, twelve billion, one hundred thirty-five million, two hundred twenty-four thousand, four hundred forty-one".