11200122211829 has 2 divisors, whose sum is σ = 11200122211830. Its totient is φ = 11200122211828.

The previous prime is 11200122211709. The next prime is 11200122211913. The reversal of 11200122211829 is 92811222100211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8525173644100 + 2674948567729 = 2919790^2 + 1635527^2 .

It is a cyclic number.

It is not a de Polignac number, because 11200122211829 - 2²⁴ = 11200105434613 is a prime.

It is a super-2 number, since 2×11200122211829² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11200122211795 and 11200122211804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11200122213829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600061105914 + 5600061105915.

It is an arithmetic number, because the mean of its divisors is an integer number (5600061105915).

Almost surely, 2^{11200122211829} is an apocalyptic number.

It is an amenable number.

11200122211829 is a deficient number, since it is larger than the sum of its proper divisors (1).

11200122211829 is an equidigital number, since it uses as much as digits as its factorization.

11200122211829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 11200122211829 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, two hundred eleven thousand, eight hundred twenty-nine".