120100110100001 has 2 divisors, whose sum is σ = 120100110100002. Its totient is φ = 120100110100000.

The previous prime is 120100110099973. The next prime is 120100110100037. The reversal of 120100110100001 is 100001011001021.

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., 67855417753600 + 52244692346401 = 8237440^2 + 7228049^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100110100001 - 2³⁸ = 119825232193057 is a prime.

It is not a weakly prime, because it can be changed into another prime (120100110108001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60050055050000 + 60050055050001.

It is an arithmetic number, because the mean of its divisors is an integer number (60050055050001).

Almost surely, 2^{120100110100001} is an apocalyptic number.

It is an amenable number.

120100110100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120100110100001 is an equidigital number, since it uses as much as digits as its factorization.

120100110100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 120100110100001 its reverse (100001011001021), we get a palindrome (220101121101022).

The spelling of 120100110100001 in words is "one hundred twenty trillion, one hundred billion, one hundred ten million, one hundred thousand, one".