101212122001001 has 16 divisors (see below), whose sum is σ = 117520203967488. Its totient is φ = 86145211180800.

The previous prime is 101212122000953. The next prime is 101212122001097. The reversal of 101212122001001 is 100100221212101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101212122001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212122009001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1416826310 + ... + 1416897743.

It is an arithmetic number, because the mean of its divisors is an integer number (7345012747968).

Almost surely, 2^{101212122001001} is an apocalyptic number.

101212122001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101212122001001 is a deficient number, since it is larger than the sum of its proper divisors (16308081966487).

101212122001001 is a wasteful number, since it uses less digits than its factorization.

101212122001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833724272.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101212122001001 its reverse (100100221212101), we get a palindrome (201312343213102).

The spelling of 101212122001001 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-two million, one thousand, one".