101212102101001 has 8 divisors (see below), whose sum is σ = 102922675634304. Its totient is φ = 99503185301520.

The previous prime is 101212102100959. The next prime is 101212102101017. The reversal of 101212102101001 is 100101201212101.

It is a happy number.

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 101212102101001 - 2¹³ = 101212102092809 is a prime.

It is a super-3 number, since 3×101212102101001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212102105001) 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, 414060241 + ... + 414304606.

It is an arithmetic number, because the mean of its divisors is an integer number (12865334454288).

Almost surely, 2^{101212102101001} is an apocalyptic number.

It is an amenable number.

101212102101001 is a deficient number, since it is larger than the sum of its proper divisors (1710573533303).

101212102101001 is an equidigital number, since it uses as much as digits as its factorization.

101212102101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828366911.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101212102101001 its reverse (100101201212101), we get a palindrome (201313303313102).

The spelling of 101212102101001 in words is "one hundred one trillion, two hundred twelve billion, one hundred two million, one hundred one thousand, one".