100122100121201 has 2 divisors, whose sum is σ = 100122100121202. Its totient is φ = 100122100121200.

The previous prime is 100122100121137. The next prime is 100122100121243. The reversal of 100122100121201 is 102121001221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99526461927025 + 595638194176 = 9976295^2 + 771776^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122100121201 - 2⁶ = 100122100121137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122100121101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050060600 + 50061050060601.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050060601).

Almost surely, 2^{100122100121201} is an apocalyptic number.

It is an amenable number.

100122100121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122100121201 is an equidigital number, since it uses as much as digits as its factorization.

100122100121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122100121201 its reverse (102121001221001), we get a palindrome (202243101342202).

The spelling of 100122100121201 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, two hundred one".