101022202202123 has 2 divisors, whose sum is σ = 101022202202124. Its totient is φ = 101022202202122.

The previous prime is 101022202202113. The next prime is 101022202202167. The reversal of 101022202202123 is 321202202220101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101022202202123 - 2⁶ = 101022202202059 is a prime.

It is a super-2 number, since 2×101022202202123² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022202202095 and 101022202202104.

It is not a weakly prime, because it can be changed into another prime (101022202202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511101101061 + 50511101101062.

It is an arithmetic number, because the mean of its divisors is an integer number (50511101101062).

Almost surely, 2^{101022202202123} is an apocalyptic number.

101022202202123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022202202123 is an equidigital number, since it uses as much as digits as its factorization.

101022202202123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101022202202123 its reverse (321202202220101), we get a palindrome (422224404422224).

The spelling of 101022202202123 in words is "one hundred one trillion, twenty-two billion, two hundred two million, two hundred two thousand, one hundred twenty-three".