120100100020001 has 2 divisors, whose sum is σ = 120100100020002. Its totient is φ = 120100100020000.

The previous prime is 120100100019989. The next prime is 120100100020003. The reversal of 120100100020001 is 100020001001021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99940009000000 + 20160091020001 = 9997000^2 + 4489999^2 .

It is an emirp because it is prime and its reverse (100020001001021) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120100100020001 is a prime.

Together with 120100100020003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (120100100020003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60050050010000 + 60050050010001.

It is an arithmetic number, because the mean of its divisors is an integer number (60050050010001).

Almost surely, 2^{120100100020001} is an apocalyptic number.

It is an amenable number.

120100100020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120100100020001 is an equidigital number, since it uses as much as digits as its factorization.

120100100020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120100100020001 its reverse (100020001001021), we get a palindrome (220120101021022).

The spelling of 120100100020001 in words is "one hundred twenty trillion, one hundred billion, one hundred million, twenty thousand, one".