101012220112123 has 2 divisors, whose sum is σ = 101012220112124. Its totient is φ = 101012220112122.

The previous prime is 101012220112103. The next prime is 101012220112163. The reversal of 101012220112123 is 321211022210101.

It is a weak prime.

It is an emirp because it is prime and its reverse (321211022210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101012220112123 - 2²¹ = 101012218014971 is a prime.

It is a super-2 number, since 2×101012220112123² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101012220112123.

It is not a weakly prime, because it can be changed into another prime (101012220112103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506110056061 + 50506110056062.

It is an arithmetic number, because the mean of its divisors is an integer number (50506110056062).

Almost surely, 2^{101012220112123} is an apocalyptic number.

101012220112123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012220112123 is an equidigital number, since it uses as much as digits as its factorization.

101012220112123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101012220112123 its reverse (321211022210101), we get a palindrome (422223242322224).

The spelling of 101012220112123 in words is "one hundred one trillion, twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty-three".