10120213101001 has 2 divisors, whose sum is σ = 10120213101002. Its totient is φ = 10120213101000.

The previous prime is 10120213100981. The next prime is 10120213101059. The reversal of 10120213101001 is 10010131202101.

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., 9763756339401 + 356456761600 = 3124701^2 + 597040^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120213101001 - 2¹⁹ = 10120212576713 is a prime.

It is not a weakly prime, because it can be changed into another prime (10120213101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060106550500 + 5060106550501.

It is an arithmetic number, because the mean of its divisors is an integer number (5060106550501).

Almost surely, 2^{10120213101001} is an apocalyptic number.

It is an amenable number.

10120213101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120213101001 is an equidigital number, since it uses as much as digits as its factorization.

10120213101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10120213101001 its reverse (10010131202101), we get a palindrome (20130344303102).

The spelling of 10120213101001 in words is "ten trillion, one hundred twenty billion, two hundred thirteen million, one hundred one thousand, one".