101014401 has 8 divisors (see below), whose sum is σ = 135590400. Its totient is φ = 66890672.

The previous prime is 101014373. The next prime is 101014451. The reversal of 101014401 is 104410101.

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

It is a cyclic number.

It is not a de Polignac number, because 101014401 - 2⁵ = 101014369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101014451) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 112545 + ... + 113438.

It is an arithmetic number, because the mean of its divisors is an integer number (16948800).

Almost surely, 2^101014401 is an apocalyptic number.

It is an amenable number.

101014401 is a deficient number, since it is larger than the sum of its proper divisors (34575999).

101014401 is a wasteful number, since it uses less digits than its factorization.

101014401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226135.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101014401 is about 10050.5920721120. The cubic root of 101014401 is about 465.7230835879.

Adding to 101014401 its reverse (104410101), we get a palindrome (205424502).

The spelling of 101014401 in words is "one hundred one million, fourteen thousand, four hundred one".