1022011020001 has 2 divisors, whose sum is σ = 1022011020002. Its totient is φ = 1022011020000.

The previous prime is 1022011019987. The next prime is 1022011020013. The reversal of 1022011020001 is 1000201102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 698977930401 + 323033089600 = 836049^2 + 568360^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022011020001 - 2¹¹ = 1022011017953 is a prime.

It is a super-3 number, since 3×1022011020001³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1022011020001.

It is not a weakly prime, because it can be changed into another prime (1022011020301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511005510000 + 511005510001.

It is an arithmetic number, because the mean of its divisors is an integer number (511005510001).

Almost surely, 2^{1022011020001} is an apocalyptic number.

It is an amenable number.

1022011020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022011020001 is an equidigital number, since it uses as much as digits as its factorization.

1022011020001 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 1022011020001 its reverse (1000201102201), we get a palindrome (2022212122202).

The spelling of 1022011020001 in words is "one trillion, twenty-two billion, eleven million, twenty thousand, one".