101112331441 has 32 divisors (see below), whose sum is σ = 114578666496. Its totient is φ = 88397568000.

The previous prime is 101112331423. The next prime is 101112331457. The reversal of 101112331441 is 144133211101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112331441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112331421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41489275 + ... + 41491711.

It is an arithmetic number, because the mean of its divisors is an integer number (3580583328).

Almost surely, 2^101112331441 is an apocalyptic number.

101112331441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112331441 is a deficient number, since it is larger than the sum of its proper divisors (13466335055).

101112331441 is a wasteful number, since it uses less digits than its factorization.

101112331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101112331441 its reverse (144133211101), we get a palindrome (245245542542).

The spelling of 101112331441 in words is "one hundred one billion, one hundred twelve million, three hundred thirty-one thousand, four hundred forty-one".