2121101000123 has 32 divisors (see below), whose sum is σ = 2493983232000. Its totient is φ = 1766454117120.

The previous prime is 2121101000107. The next prime is 2121101000167. The reversal of 2121101000123 is 3210001011212.

It is not a de Polignac number, because 2121101000123 - 2⁴ = 2121101000107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2121101000098 and 2121101000107.

It is not an unprimeable number, because it can be changed into a prime (2121101000423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39458258 + ... + 39511976.

It is an arithmetic number, because the mean of its divisors is an integer number (77936976000).

Almost surely, 2^{2121101000123} is an apocalyptic number.

2121101000123 is a deficient number, since it is larger than the sum of its proper divisors (372882231877).

2121101000123 is a wasteful number, since it uses less digits than its factorization.

2121101000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54915.

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

Adding to 2121101000123 its reverse (3210001011212), we get a palindrome (5331102011335).

The spelling of 2121101000123 in words is "two trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-three", and thus it is an aban number.