101112212001 has 8 divisors (see below), whose sum is σ = 135317459520. Its totient is φ = 67157552912.

The previous prime is 101112211999. The next prime is 101112212023. The reversal of 101112212001 is 100212211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101112212001 - 2¹ = 101112211999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112212501) 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 7 ways as a sum of consecutive naturals, for example, 62646165 + ... + 62647778.

It is an arithmetic number, because the mean of its divisors is an integer number (16914682440).

Almost surely, 2^101112212001 is an apocalyptic number.

It is an amenable number.

101112212001 is a deficient number, since it is larger than the sum of its proper divisors (34205247519).

101112212001 is a wasteful number, since it uses less digits than its factorization.

101112212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125294215.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112212001 its reverse (100212211101), we get a palindrome (201324423102).

The spelling of 101112212001 in words is "one hundred one billion, one hundred twelve million, two hundred twelve thousand, one".