101400971 has 24 divisors (see below), whose sum is σ = 125292960. Its totient is φ = 80110080.

The previous prime is 101400877. The next prime is 101400983. The reversal of 101400971 is 179004101.

It is not a de Polignac number, because 101400971 - 2¹⁸ = 101138827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101400071) 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 23 ways as a sum of consecutive naturals, for example, 442685 + ... + 442913.

It is an arithmetic number, because the mean of its divisors is an integer number (5220540).

Almost surely, 2^101400971 is an apocalyptic number.

101400971 is a deficient number, since it is larger than the sum of its proper divisors (23891989).

101400971 is an equidigital number, since it uses as much as digits as its factorization.

101400971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 101400971 is about 10069.8049137012. The cubic root of 101400971 is about 466.3164161581.

The spelling of 101400971 in words is "one hundred one million, four hundred thousand, nine hundred seventy-one".