100101210102121 has 2 divisors, whose sum is σ = 100101210102122. Its totient is φ = 100101210102120.

The previous prime is 100101210102119. The next prime is 100101210102133. The reversal of 100101210102121 is 121201012101001.

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., 55141985835225 + 44959224266896 = 7425765^2 + 6705164^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101210102121 - 2¹ = 100101210102119 is a prime.

Together with 100101210102119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100101210105121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050605051060 + 50050605051061.

It is an arithmetic number, because the mean of its divisors is an integer number (50050605051061).

Almost surely, 2^{100101210102121} is an apocalyptic number.

It is an amenable number.

100101210102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101210102121 is an equidigital number, since it uses as much as digits as its factorization.

100101210102121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100101210102121 its reverse (121201012101001), we get a palindrome (221302222203122).

The spelling of 100101210102121 in words is "one hundred trillion, one hundred one billion, two hundred ten million, one hundred two thousand, one hundred twenty-one".