101111312001 has 32 divisors (see below), whose sum is σ = 159075237888. Its totient is φ = 55924767360.

The previous prime is 101111311993. The next prime is 101111312011. The reversal of 101111312001 is 100213111101.

It is not a de Polignac number, because 101111312001 - 2³ = 101111311993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111312011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352995 + ... + 571688.

It is an arithmetic number, because the mean of its divisors is an integer number (4971101184).

Almost surely, 2^101111312001 is an apocalyptic number.

It is an amenable number.

101111312001 is a deficient number, since it is larger than the sum of its proper divisors (57963925887).

101111312001 is a wasteful number, since it uses less digits than its factorization.

101111312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924861.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101111312001 its reverse (100213111101), we get a palindrome (201324423102).

Subtracting from 101111312001 its reverse (100213111101), we obtain a square (898200900 = 29970²).

The spelling of 101111312001 in words is "one hundred one billion, one hundred eleven million, three hundred twelve thousand, one".