101004100201431 has 16 divisors (see below), whose sum is σ = 171012233145600. Its totient is φ = 57716628686424.

The previous prime is 101004100201363. The next prime is 101004100201457. The reversal of 101004100201431 is 134102001400101.

101004100201431 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 410 + 0 + 201 + 43 + 1 = 666.

It is not a de Polignac number, because 101004100201431 - 2⁹ = 101004100200919 is a prime.

It is a super-2 number, since 2×101004100201431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004100201471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267206614101 + ... + 267206614478.

It is an arithmetic number, because the mean of its divisors is an integer number (10688264571600).

Almost surely, 2^{101004100201431} is an apocalyptic number.

101004100201431 is a deficient number, since it is larger than the sum of its proper divisors (70008132944169).

101004100201431 is an equidigital number, since it uses as much as digits as its factorization.

101004100201431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534413228595 (or 534413228589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101004100201431 its reverse (134102001400101), we get a palindrome (235106101601532).

The spelling of 101004100201431 in words is "one hundred one trillion, four billion, one hundred million, two hundred one thousand, four hundred thirty-one".