10100120221001 has 2 divisors, whose sum is σ = 10100120221002. Its totient is φ = 10100120221000.

The previous prime is 10100120220973. The next prime is 10100120221039. The reversal of 10100120221001 is 10012202100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9595274445376 + 504845775625 = 3097624^2 + 710525^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100120221001 - 2⁶ = 10100120220937 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100120221091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060110500 + 5050060110501.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060110501).

Almost surely, 2^{10100120221001} is an apocalyptic number.

It is an amenable number.

10100120221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100120221001 is an equidigital number, since it uses as much as digits as its factorization.

10100120221001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100120221001 its reverse (10012202100101), we get a palindrome (20112322321102).

The spelling of 10100120221001 in words is "ten trillion, one hundred billion, one hundred twenty million, two hundred twenty-one thousand, one".