101212012122001 has 8 divisors (see below), whose sum is σ = 110413216793664. Its totient is φ = 92010826227120.

The previous prime is 101212012121963. The next prime is 101212012122007. The reversal of 101212012122001 is 100221210212101.

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 101212012122001 - 2²¹ = 101212010024849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212012122007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8090211 + ... + 16366903.

It is an arithmetic number, because the mean of its divisors is an integer number (13801652099208).

Almost surely, 2^{101212012122001} is an apocalyptic number.

101212012122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212012122001 is a deficient number, since it is larger than the sum of its proper divisors (9201204671663).

101212012122001 is a wasteful number, since it uses less digits than its factorization.

101212012122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388391.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101212012122001 its reverse (100221210212101), we get a palindrome (201433222334102).

The spelling of 101212012122001 in words is "one hundred one trillion, two hundred twelve billion, twelve million, one hundred twenty-two thousand, one".