100020100122001 has 2 divisors, whose sum is σ = 100020100122002. Its totient is φ = 100020100122000.

The previous prime is 100020100121993. The next prime is 100020100122029. The reversal of 100020100122001 is 100221001020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53218411059025 + 46801689062976 = 7295095^2 + 6841176^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020100122001 - 2³ = 100020100121993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100020100122301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010050061000 + 50010050061001.

It is an arithmetic number, because the mean of its divisors is an integer number (50010050061001).

Almost surely, 2^{100020100122001} is an apocalyptic number.

It is an amenable number.

100020100122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020100122001 is an equidigital number, since it uses as much as digits as its factorization.

100020100122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100020100122001 its reverse (100221001020001), we get a palindrome (200241101142002).

The spelling of 100020100122001 in words is "one hundred trillion, twenty billion, one hundred million, one hundred twenty-two thousand, one".