10121020002001 has 2 divisors, whose sum is σ = 10121020002002. Its totient is φ = 10121020002000.

The previous prime is 10121020001993. The next prime is 10121020002011. The reversal of 10121020002001 is 10020002012101.

It is an a-pointer prime, because the next prime (10121020002011) can be obtained adding 10121020002001 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10076815360000 + 44204642001 = 3174400^2 + 210249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121020002001 - 2³ = 10121020001993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121020002011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060510001000 + 5060510001001.

It is an arithmetic number, because the mean of its divisors is an integer number (5060510001001).

Almost surely, 2^{10121020002001} is an apocalyptic number.

It is an amenable number.

10121020002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121020002001 is an equidigital number, since it uses as much as digits as its factorization.

10121020002001 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 10.

Adding to 10121020002001 its reverse (10020002012101), we get a palindrome (20141022014102).

The spelling of 10121020002001 in words is "ten trillion, one hundred twenty-one billion, twenty million, two thousand, one".