101012442441 has 32 divisors (see below), whose sum is σ = 145830451200. Its totient is φ = 61990505280.

The previous prime is 101012442439. The next prime is 101012442451. The reversal of 101012442441 is 144244210101.

It is not a de Polignac number, because 101012442441 - 2¹ = 101012442439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101012442451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236751 + ... + 508011.

It is an arithmetic number, because the mean of its divisors is an integer number (4557201600).

Almost surely, 2^101012442441 is an apocalyptic number.

It is an amenable number.

101012442441 is a deficient number, since it is larger than the sum of its proper divisors (44818008759).

101012442441 is a wasteful number, since it uses less digits than its factorization.

101012442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271469.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101012442441 its reverse (144244210101), we get a palindrome (245256652542).

It can be divided in two parts, 10101 and 2442441, that added together give a palindrome (2452542).

The spelling of 101012442441 in words is "one hundred one billion, twelve million, four hundred forty-two thousand, four hundred forty-one".