100121122020961 has 2 divisors, whose sum is σ = 100121122020962. Its totient is φ = 100121122020960.

The previous prime is 100121122020859. The next prime is 100121122021049. The reversal of 100121122020961 is 169020221121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66354969972736 + 33766152048225 = 8145856^2 + 5810865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100121122020961 is a prime.

It is a super-3 number, since 3×100121122020961³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100121122021961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060561010480 + 50060561010481.

It is an arithmetic number, because the mean of its divisors is an integer number (50060561010481).

Almost surely, 2^{100121122020961} is an apocalyptic number.

It is an amenable number.

100121122020961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121122020961 is an equidigital number, since it uses as much as digits as its factorization.

100121122020961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

Adding to 100121122020961 its reverse (169020221121001), we get a palindrome (269141343141962).

The spelling of 100121122020961 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, twenty thousand, nine hundred sixty-one".