22121011101829 has 2 divisors, whose sum is σ = 22121011101830. Its totient is φ = 22121011101828.

The previous prime is 22121011101817. The next prime is 22121011101919. The reversal of 22121011101829 is 92810111012122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18485468077729 + 3635543024100 = 4299473^2 + 1906710^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121011101829 - 2³⁹ = 21571255287941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22121011101829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121011108829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060505550914 + 11060505550915.

It is an arithmetic number, because the mean of its divisors is an integer number (11060505550915).

Almost surely, 2^{22121011101829} is an apocalyptic number.

It is an amenable number.

22121011101829 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121011101829 is an equidigital number, since it uses as much as digits as its factorization.

22121011101829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 22121011101829 in words is "twenty-two trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, eight hundred twenty-nine".