10221122112119 has 2 divisors, whose sum is σ = 10221122112120. Its totient is φ = 10221122112118.

The previous prime is 10221122112101. The next prime is 10221122112137. The reversal of 10221122112119 is 91121122112201.

It is a balanced prime because it is at equal distance from previous prime (10221122112101) and next prime (10221122112137).

It is a cyclic number.

It is not a de Polignac number, because 10221122112119 - 2³⁶ = 10152402635383 is a prime.

It is a super-2 number, since 2×10221122112119² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221122112919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110561056059 + 5110561056060.

It is an arithmetic number, because the mean of its divisors is an integer number (5110561056060).

Almost surely, 2^{10221122112119} is an apocalyptic number.

10221122112119 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221122112119 is an equidigital number, since it uses as much as digits as its factorization.

10221122112119 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 10221122112119 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred nineteen".