101002121123 has 2 divisors, whose sum is σ = 101002121124. Its totient is φ = 101002121122.

The previous prime is 101002121119. The next prime is 101002121149. The reversal of 101002121123 is 321121200101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101002121123 - 2² = 101002121119 is a prime.

It is a super-2 number, since 2×101002121123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002121098 and 101002121107.

It is not a weakly prime, because it can be changed into another prime (101002121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501060561 + 50501060562.

It is an arithmetic number, because the mean of its divisors is an integer number (50501060562).

Almost surely, 2^101002121123 is an apocalyptic number.

101002121123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002121123 is an equidigital number, since it uses as much as digits as its factorization.

101002121123 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101002121123 its reverse (321121200101), we get a palindrome (422123321224).

The spelling of 101002121123 in words is "one hundred one billion, two million, one hundred twenty-one thousand, one hundred twenty-three".