100213202123 has 8 divisors (see below), whose sum is σ = 101113696848. Its totient is φ = 99316191744.

The previous prime is 100213202093. The next prime is 100213202129. The reversal of 100213202123 is 321202312001.

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 100213202123 - 2¹⁸ = 100212939979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100213202129) 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, 813290 + ... + 928367.

It is an arithmetic number, because the mean of its divisors is an integer number (12639212106).

Almost surely, 2^100213202123 is an apocalyptic number.

100213202123 is a deficient number, since it is larger than the sum of its proper divisors (900494725).

100213202123 is a wasteful number, since it uses less digits than its factorization.

100213202123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742173.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100213202123 its reverse (321202312001), we get a palindrome (421415514124).

The spelling of 100213202123 in words is "one hundred billion, two hundred thirteen million, two hundred two thousand, one hundred twenty-three".