10200122083829 has 2 divisors, whose sum is σ = 10200122083830. Its totient is φ = 10200122083828.

The previous prime is 10200122083777. The next prime is 10200122083859. The reversal of 10200122083829 is 92838022100201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8269495202929 + 1930626880900 = 2875673^2 + 1389470^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200122083829 - 2³² = 10195827116533 is a prime.

It is a super-2 number, since 2×10200122083829² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200122083792 and 10200122083801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200122083859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100061041914 + 5100061041915.

It is an arithmetic number, because the mean of its divisors is an integer number (5100061041915).

Almost surely, 2^{10200122083829} is an apocalyptic number.

It is an amenable number.

10200122083829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200122083829 is an equidigital number, since it uses as much as digits as its factorization.

10200122083829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 10200122083829 in words is "ten trillion, two hundred billion, one hundred twenty-two million, eighty-three thousand, eight hundred twenty-nine".