212362053121 has 2 divisors, whose sum is σ = 212362053122. Its totient is φ = 212362053120.

The previous prime is 212362053103. The next prime is 212362053131. The reversal of 212362053121 is 121350263212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108462200896 + 103899852225 = 329336^2 + 322335^2 .

It is a cyclic number.

It is not a de Polignac number, because 212362053121 - 2¹¹ = 212362051073 is a prime.

It is a super-3 number, since 3×212362053121³ (a number of 35 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 212362053121.

It is not a weakly prime, because it can be changed into another prime (212362053131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106181026560 + 106181026561.

It is an arithmetic number, because the mean of its divisors is an integer number (106181026561).

Almost surely, 2^212362053121 is an apocalyptic number.

It is an amenable number.

212362053121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212362053121 is an equidigital number, since it uses as much as digits as its factorization.

212362053121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

It can be divided in two parts, 2123620 and 53121, that added together give a triangular number (2176741 = T₂₀₈₆).

The spelling of 212362053121 in words is "two hundred twelve billion, three hundred sixty-two million, fifty-three thousand, one hundred twenty-one".