100120222020001 has 2 divisors, whose sum is σ = 100120222020002. Its totient is φ = 100120222020000.

The previous prime is 100120222019981. The next prime is 100120222020059. The reversal of 100120222020001 is 100020222021001.

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., 69222732800400 + 30897489219601 = 8320020^2 + 5558551^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120222020001 - 2¹³ = 100120222011809 is a prime.

It is not a weakly prime, because it can be changed into another prime (100120222020701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060111010000 + 50060111010001.

It is an arithmetic number, because the mean of its divisors is an integer number (50060111010001).

Almost surely, 2^{100120222020001} is an apocalyptic number.

It is an amenable number.

100120222020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120222020001 is an equidigital number, since it uses as much as digits as its factorization.

100120222020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100120222020001 its reverse (100020222021001), we get a palindrome (200140444041002).

The spelling of 100120222020001 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-two million, twenty thousand, one".