100121001211081 has 2 divisors, whose sum is σ = 100121001211082. Its totient is φ = 100121001211080.

The previous prime is 100121001211061. The next prime is 100121001211139. The reversal of 100121001211081 is 180112100121001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98204136040000 + 1916865171081 = 9909800^2 + 1384509^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121001211081 - 2⁹ = 100121001210569 is a prime.

It is a super-3 number, since 3×100121001211081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100121001211001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060500605540 + 50060500605541.

It is an arithmetic number, because the mean of its divisors is an integer number (50060500605541).

Almost surely, 2^{100121001211081} is an apocalyptic number.

It is an amenable number.

100121001211081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121001211081 is an equidigital number, since it uses as much as digits as its factorization.

100121001211081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 100121001211081 its reverse (180112100121001), we get a palindrome (280233101332082).

The spelling of 100121001211081 in words is "one hundred trillion, one hundred twenty-one billion, one million, two hundred eleven thousand, eighty-one".