2002102100123 has 8 divisors (see below), whose sum is σ = 2013507574656. Its totient is φ = 1990707264000.

The previous prime is 2002102100093. The next prime is 2002102100129. The reversal of 2002102100123 is 3210012012002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002102100123 - 2¹⁰ = 2002102099099 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002102100098 and 2002102100107.

It is not an unprimeable number, because it can be changed into a prime (2002102100129) 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 in 7 ways as a sum of consecutive naturals, for example, 2281988 + ... + 3035073.

It is an arithmetic number, because the mean of its divisors is an integer number (251688446832).

Almost surely, 2^{2002102100123} is an apocalyptic number.

2002102100123 is a deficient number, since it is larger than the sum of its proper divisors (11405474533).

2002102100123 is a wasteful number, since it uses less digits than its factorization.

2002102100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319205.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2002102100123 its reverse (3210012012002), we get a palindrome (5212114112125).

The spelling of 2002102100123 in words is "two trillion, two billion, one hundred two million, one hundred thousand, one hundred twenty-three".