1020212121001 has 2 divisors, whose sum is σ = 1020212121002. Its totient is φ = 1020212121000.

The previous prime is 1020212120969. The next prime is 1020212121017. The reversal of 1020212121001 is 1001212120201.

1020212121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 811892904601 + 208319216400 = 901051^2 + 456420^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020212121001 - 2⁵ = 1020212120969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020212127001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510106060500 + 510106060501.

It is an arithmetic number, because the mean of its divisors is an integer number (510106060501).

Almost surely, 2^{1020212121001} is an apocalyptic number.

It is an amenable number.

1020212121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020212121001 is an equidigital number, since it uses as much as digits as its factorization.

1020212121001 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 1020212121001 its reverse (1001212120201), we get a palindrome (2021424241202).

The spelling of 1020212121001 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twenty-one thousand, one".