101400004201 has 16 divisors (see below), whose sum is σ = 106813857600. Its totient is φ = 96118310848.

The previous prime is 101400004141. The next prime is 101400004243. The reversal of 101400004201 is 102400004101.

It is not a de Polignac number, because 101400004201 - 2⁷ = 101400004073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101400004271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284270 + ... + 1360936.

It is an arithmetic number, because the mean of its divisors is an integer number (6675866100).

Almost surely, 2^101400004201 is an apocalyptic number.

It is an amenable number.

101400004201 is a deficient number, since it is larger than the sum of its proper divisors (5413853399).

101400004201 is an equidigital number, since it uses as much as digits as its factorization.

101400004201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77528.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101400004201 its reverse (102400004101), we get a palindrome (203800008302).

The spelling of 101400004201 in words is "one hundred one billion, four hundred million, four thousand, two hundred one".