101442033 has 24 divisors (see below), whose sum is σ = 182684736. Its totient is φ = 52696800.

The previous prime is 101442023. The next prime is 101442037. The reversal of 101442033 is 330244101.

It is not a de Polignac number, because 101442033 - 2⁴ = 101442017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101441997 and 101442015.

It is not an unprimeable number, because it can be changed into a prime (101442037) 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, 72498 + ... + 73883.

It is an arithmetic number, because the mean of its divisors is an integer number (7611864).

Almost surely, 2^101442033 is an apocalyptic number.

It is an amenable number.

101442033 is a deficient number, since it is larger than the sum of its proper divisors (81242703).

101442033 is a wasteful number, since it uses less digits than its factorization.

101442033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146405 (or 146402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101442033 is about 10071.8435750363. The cubic root of 101442033 is about 466.3793521124.

Adding to 101442033 its reverse (330244101), we get a palindrome (431686134).

The spelling of 101442033 in words is "one hundred one million, four hundred forty-two thousand, thirty-three".