101114442 has 96 divisors (see below), whose sum is σ = 260035776. Its totient is φ = 27993600.

The previous prime is 101114411. The next prime is 101114471. The reversal of 101114442 is 244411101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419442 + ... + 419682.

It is an arithmetic number, because the mean of its divisors is an integer number (2708706).

Almost surely, 2^101114442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101114442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130017888).

101114442 is an abundant number, since it is smaller than the sum of its proper divisors (158921334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101114442 is a wasteful number, since it uses less digits than its factorization.

101114442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101114442 is about 10055.5677114721. The cubic root of 101114442 is about 465.8767779463.

Adding to 101114442 its reverse (244411101), we get a palindrome (345525543).

The spelling of 101114442 in words is "one hundred one million, one hundred fourteen thousand, four hundred forty-two".