2121111111029 has 2 divisors, whose sum is σ = 2121111111030. Its totient is φ = 2121111111028.

The previous prime is 2121111111019. The next prime is 2121111111047. The reversal of 2121111111029 is 9201111111212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1972367448100 + 148743662929 = 1404410^2 + 385673^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121111111029 - 2⁴ = 2121111111013 is a prime.

It is a super-2 number, since 2×2121111111029² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121111110995 and 2121111111013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121111111019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060555555514 + 1060555555515.

It is an arithmetic number, because the mean of its divisors is an integer number (1060555555515).

Almost surely, 2^{2121111111029} is an apocalyptic number.

It is an amenable number.

2121111111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121111111029 is an equidigital number, since it uses as much as digits as its factorization.

2121111111029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 2121111111029 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, twenty-nine".