100101221212001 has 2 divisors, whose sum is σ = 100101221212002. Its totient is φ = 100101221212000.

The previous prime is 100101221211961. The next prime is 100101221212021. The reversal of 100101221212001 is 100212122101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95738866821376 + 4362354390625 = 9784624^2 + 2088625^2 .

It is an emirp because it is prime and its reverse (100212122101001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101221212001 is a prime.

It is a super-3 number, since 3×100101221212001³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100101221212021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050610606000 + 50050610606001.

It is an arithmetic number, because the mean of its divisors is an integer number (50050610606001).

Almost surely, 2^{100101221212001} is an apocalyptic number.

It is an amenable number.

100101221212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101221212001 is an equidigital number, since it uses as much as digits as its factorization.

100101221212001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100101221212001 its reverse (100212122101001), we get a palindrome (200313343313002).

The spelling of 100101221212001 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, one".