1010212122001 has 2 divisors, whose sum is σ = 1010212122002. Its totient is φ = 1010212122000.

The previous prime is 1010212121993. The next prime is 1010212122043. The reversal of 1010212122001 is 1002212120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 626337702225 + 383874419776 = 791415^2 + 619576^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010212122001 - 2³ = 1010212121993 is a prime.

It is a super-3 number, since 3×1010212122001³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1010212122401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505106061000 + 505106061001.

It is an arithmetic number, because the mean of its divisors is an integer number (505106061001).

Almost surely, 2^{1010212122001} is an apocalyptic number.

It is an amenable number.

1010212122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010212122001 is an equidigital number, since it uses as much as digits as its factorization.

1010212122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1010212122001 its reverse (1002212120101), we get a palindrome (2012424242102).

The spelling of 1010212122001 in words is "one trillion, ten billion, two hundred twelve million, one hundred twenty-two thousand, one".