212002210020001 has 2 divisors, whose sum is σ = 212002210020002. Its totient is φ = 212002210020000.

The previous prime is 212002210019989. The next prime is 212002210020101. The reversal of 212002210020001 is 100020012200212.

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., 154144143630400 + 57858066389601 = 12415480^2 + 7606449^2 .

It is a cyclic number.

It is not a de Polignac number, because 212002210020001 - 2⁵ = 212002210019969 is a prime.

It is a super-2 number, since 2×212002210020001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212002210020101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106001105010000 + 106001105010001.

It is an arithmetic number, because the mean of its divisors is an integer number (106001105010001).

Almost surely, 2^{212002210020001} is an apocalyptic number.

It is an amenable number.

212002210020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002210020001 is an equidigital number, since it uses as much as digits as its factorization.

212002210020001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212002210020001 its reverse (100020012200212), we get a palindrome (312022222220213).

The spelling of 212002210020001 in words is "two hundred twelve trillion, two billion, two hundred ten million, twenty thousand, one".