101013102221123 has 2 divisors, whose sum is σ = 101013102221124. Its totient is φ = 101013102221122.

The previous prime is 101013102221029. The next prime is 101013102221131. The reversal of 101013102221123 is 321122201310101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101013102221123 - 2⁴⁰ = 99913590593347 is a prime.

It is a super-2 number, since 2×101013102221123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101013102221095 and 101013102221104.

It is not a weakly prime, because it can be changed into another prime (101013102221153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506551110561 + 50506551110562.

It is an arithmetic number, because the mean of its divisors is an integer number (50506551110562).

Almost surely, 2^{101013102221123} is an apocalyptic number.

101013102221123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013102221123 is an equidigital number, since it uses as much as digits as its factorization.

101013102221123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101013102221123 its reverse (321122201310101), we get a palindrome (422135303531224).

The spelling of 101013102221123 in words is "one hundred one trillion, thirteen billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty-three".