10122111083827 has 2 divisors, whose sum is σ = 10122111083828. Its totient is φ = 10122111083826.

The previous prime is 10122111083807. The next prime is 10122111083881. The reversal of 10122111083827 is 72838011122101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10122111083827 - 2¹¹ = 10122111081779 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122111083807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061055541913 + 5061055541914.

It is an arithmetic number, because the mean of its divisors is an integer number (5061055541914).

Almost surely, 2^{10122111083827} is an apocalyptic number.

10122111083827 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122111083827 is an equidigital number, since it uses as much as digits as its factorization.

10122111083827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 37.

The spelling of 10122111083827 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, eighty-three thousand, eight hundred twenty-seven".