2121011101021 has 2 divisors, whose sum is σ = 2121011101022. Its totient is φ = 2121011101020.

The previous prime is 2121011100931. The next prime is 2121011101039. The reversal of 2121011101021 is 1201011101212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2060229622500 + 60781478521 = 1435350^2 + 246539^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121011101021 - 2¹³ = 2121011092829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121011100992 and 2121011101010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121011401021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060505550510 + 1060505550511.

It is an arithmetic number, because the mean of its divisors is an integer number (1060505550511).

Almost surely, 2^{2121011101021} is an apocalyptic number.

It is an amenable number.

2121011101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121011101021 is an equidigital number, since it uses as much as digits as its factorization.

2121011101021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2121011101021 its reverse (1201011101212), we get a palindrome (3322022202233).

The spelling of 2121011101021 in words is "two trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, twenty-one".