101131412001 has 16 divisors (see below), whose sum is σ = 141172234560. Its totient is φ = 64311786560.

The previous prime is 101131411991. The next prime is 101131412021. The reversal of 101131412001 is 100214131101.

It is a cyclic number.

It is not a de Polignac number, because 101131412001 - 2⁷ = 101131411873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101131412021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6995370 + ... + 7009811.

It is an arithmetic number, because the mean of its divisors is an integer number (8823264660).

Almost surely, 2^101131412001 is an apocalyptic number.

It is an amenable number.

101131412001 is a deficient number, since it is larger than the sum of its proper divisors (40040822559).

101131412001 is a wasteful number, since it uses less digits than its factorization.

101131412001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14005296.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101131412001 its reverse (100214131101), we get a palindrome (201345543102).

The spelling of 101131412001 in words is "one hundred one billion, one hundred thirty-one million, four hundred twelve thousand, one".