10122020202001 has 2 divisors, whose sum is σ = 10122020202002. Its totient is φ = 10122020202000.

The previous prime is 10122020201981. The next prime is 10122020202067. The reversal of 10122020202001 is 10020202022101.

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., 7751775208401 + 2370244993600 = 2784201^2 + 1539560^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122020202001 - 2¹¹ = 10122020199953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122020202601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061010101000 + 5061010101001.

It is an arithmetic number, because the mean of its divisors is an integer number (5061010101001).

Almost surely, 2^{10122020202001} is an apocalyptic number.

It is an amenable number.

10122020202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122020202001 is an equidigital number, since it uses as much as digits as its factorization.

10122020202001 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 10122020202001 its reverse (10020202022101), we get a palindrome (20142222224102).

The spelling of 10122020202001 in words is "ten trillion, one hundred twenty-two billion, twenty million, two hundred two thousand, one".