2084121233137 has 2 divisors, whose sum is σ = 2084121233138. Its totient is φ = 2084121233136.

The previous prime is 2084121233119. The next prime is 2084121233147. The reversal of 2084121233137 is 7313321214802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1855523454976 + 228597778161 = 1362176^2 + 478119^2 .

It is a cyclic number.

It is not a de Polignac number, because 2084121233137 - 2³⁵ = 2049761494769 is a prime.

It is a super-2 number, since 2×2084121233137² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2084121233096 and 2084121233105.

It is not a weakly prime, because it can be changed into another prime (2084121233147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042060616568 + 1042060616569.

It is an arithmetic number, because the mean of its divisors is an integer number (1042060616569).

Almost surely, 2^{2084121233137} is an apocalyptic number.

It is an amenable number.

2084121233137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2084121233137 is an equidigital number, since it uses as much as digits as its factorization.

2084121233137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 2084121233137 its reverse (7313321214802), we get a palindrome (9397442447939).

The spelling of 2084121233137 in words is "two trillion, eighty-four billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred thirty-seven".