900010212001 has 2 divisors, whose sum is σ = 900010212002. Its totient is φ = 900010212000.

The previous prime is 900010211993. The next prime is 900010212047. The reversal of 900010212001 is 100212010009.

900010212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 899986152976 + 24059025 = 948676^2 + 4905^2 .

It is an emirp because it is prime and its reverse (100212010009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 900010212001 - 2³ = 900010211993 is a prime.

It is not a weakly prime, because it can be changed into another prime (900010212601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450005106000 + 450005106001.

It is an arithmetic number, because the mean of its divisors is an integer number (450005106001).

Almost surely, 2^900010212001 is an apocalyptic number.

It is an amenable number.

900010212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

900010212001 is an equidigital number, since it uses as much as digits as its factorization.

900010212001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 900010212001 in words is "nine hundred billion, ten million, two hundred twelve thousand, one".