101102002010123 has 2 divisors, whose sum is σ = 101102002010124. Its totient is φ = 101102002010122.

The previous prime is 101102002010117. The next prime is 101102002010227. The reversal of 101102002010123 is 321010200201101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101102002010123 - 2²⁰ = 101102000961547 is a prime.

It is a super-3 number, since 3×101102002010123³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102002010098 and 101102002010107.

It is not a weakly prime, because it can be changed into another prime (101102002015123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551001005061 + 50551001005062.

It is an arithmetic number, because the mean of its divisors is an integer number (50551001005062).

Almost surely, 2^{101102002010123} is an apocalyptic number.

101102002010123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102002010123 is an equidigital number, since it uses as much as digits as its factorization.

101102002010123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101102002010123 its reverse (321010200201101), we get a palindrome (422112202211224).

The spelling of 101102002010123 in words is "one hundred one trillion, one hundred two billion, two million, ten thousand, one hundred twenty-three".