101212101001 has 16 divisors (see below), whose sum is σ = 113822809920. Its totient is φ = 89212389120.

The previous prime is 101212100987. The next prime is 101212101007. The reversal of 101212101001 is 100101212101.

It is a cyclic number.

It is not a de Polignac number, because 101212101001 - 2¹³ = 101212092809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212101007) 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 15 ways as a sum of consecutive naturals, for example, 1020780 + ... + 1115533.

It is an arithmetic number, because the mean of its divisors is an integer number (7113925620).

Almost surely, 2^101212101001 is an apocalyptic number.

101212101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212101001 is a deficient number, since it is larger than the sum of its proper divisors (12610708919).

101212101001 is a wasteful number, since it uses less digits than its factorization.

101212101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136456.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101212101001 its reverse (100101212101), we get a palindrome (201313313102).

Subtracting from 101212101001 its reverse (100101212101), we obtain a square (1110888900 = 33330²).

The spelling of 101212101001 in words is "one hundred one billion, two hundred twelve million, one hundred one thousand, one".