101142401 has 8 divisors (see below), whose sum is σ = 110785320. Its totient is φ = 91909888.

The previous prime is 101142397. The next prime is 101142439. The reversal of 101142401 is 104241101.

It can be written as a sum of positive squares in 4 ways, for example, as 49014001 + 52128400 = 7001^2 + 7220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101142401 - 2² = 101142397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101142001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102086 + ... + 103071.

It is an arithmetic number, because the mean of its divisors is an integer number (13848165).

Almost surely, 2^101142401 is an apocalyptic number.

It is an amenable number.

101142401 is a deficient number, since it is larger than the sum of its proper divisors (9642919).

101142401 is a wasteful number, since it uses less digits than its factorization.

101142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205203.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101142401 is about 10056.9578402219. The cubic root of 101142401 is about 465.9197136147.

Adding to 101142401 its reverse (104241101), we get a palindrome (205383502).

It can be divided in two parts, 10 and 1142401, that added together give a palindrome (1142411).

The spelling of 101142401 in words is "one hundred one million, one hundred forty-two thousand, four hundred one".