10100101202123 has 8 divisors (see below), whose sum is σ = 10265727601680. Its totient is φ = 9934476446880.

The previous prime is 10100101202063. The next prime is 10100101202129. The reversal of 10100101202123 is 32120210100101.

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 10100101202123 - 2³⁰ = 10099027460299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100101202098 and 10100101202107.

It is not an unprimeable number, because it can be changed into a prime (10100101202129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21290273 + ... + 21759501.

It is an arithmetic number, because the mean of its divisors is an integer number (1283215950210).

Almost surely, 2^{10100101202123} is an apocalyptic number.

10100101202123 is a deficient number, since it is larger than the sum of its proper divisors (165626399557).

10100101202123 is an equidigital number, since it uses as much as digits as its factorization.

10100101202123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822157.

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

Adding to 10100101202123 its reverse (32120210100101), we get a palindrome (42220311302224).

The spelling of 10100101202123 in words is "ten trillion, one hundred billion, one hundred one million, two hundred two thousand, one hundred twenty-three".