121121001201001 has 2 divisors, whose sum is σ = 121121001201002. Its totient is φ = 121121001201000.

The previous prime is 121121001200939. The next prime is 121121001201017. The reversal of 121121001201001 is 100102100121121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117933062370601 + 3187938830400 = 10859699^2 + 1785480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121121001201001 is a prime.

It is not a weakly prime, because it can be changed into another prime (121121001201091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60560500600500 + 60560500600501.

It is an arithmetic number, because the mean of its divisors is an integer number (60560500600501).

Almost surely, 2^{121121001201001} is an apocalyptic number.

It is an amenable number.

121121001201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121001201001 is an equidigital number, since it uses as much as digits as its factorization.

121121001201001 is an evil number, because the sum of its binary digits is even.

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

Adding to 121121001201001 its reverse (100102100121121), we get a palindrome (221223101322122).

The spelling of 121121001201001 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one million, two hundred one thousand, one".