2011020101021 has 2 divisors, whose sum is σ = 2011020101022. Its totient is φ = 2011020101020.

The previous prime is 2011020101017. The next prime is 2011020101039. The reversal of 2011020101021 is 1201010201102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1871451360100 + 139568740921 = 1368010^2 + 373589^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011020101021 - 2² = 2011020101017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011020100993 and 2011020101011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011020101521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005510050510 + 1005510050511.

It is an arithmetic number, because the mean of its divisors is an integer number (1005510050511).

Almost surely, 2^{2011020101021} is an apocalyptic number.

It is an amenable number.

2011020101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011020101021 is an equidigital number, since it uses as much as digits as its factorization.

2011020101021 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 11.

Adding to 2011020101021 its reverse (1201010201102), we get a palindrome (3212030302123).

The spelling of 2011020101021 in words is "two trillion, eleven billion, twenty million, one hundred one thousand, twenty-one".