35221100122001 has 2 divisors, whose sum is σ = 35221100122002. Its totient is φ = 35221100122000.

The previous prime is 35221100121983. The next prime is 35221100122009. The reversal of 35221100122001 is 10022100112253.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31640073752401 + 3581026369600 = 5624951^2 + 1892360^2 .

It is an emirp because it is prime and its reverse (10022100112253) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35221100122001 - 2⁶ = 35221100121937 is a prime.

It is not a weakly prime, because it can be changed into another prime (35221100122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17610550061000 + 17610550061001.

It is an arithmetic number, because the mean of its divisors is an integer number (17610550061001).

Almost surely, 2^{35221100122001} is an apocalyptic number.

It is an amenable number.

35221100122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

35221100122001 is an equidigital number, since it uses as much as digits as its factorization.

35221100122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 35221100122001 its reverse (10022100112253), we get a palindrome (45243200234254).

The spelling of 35221100122001 in words is "thirty-five trillion, two hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one".