100000010202123 has 8 divisors (see below), whose sum is σ = 135519139509136. Its totient is φ = 65573777181600.

The previous prime is 100000010202097. The next prime is 100000010202149. The reversal of 100000010202123 is 321202010000001.

It is an interprime number because it is at equal distance from previous prime (100000010202097) and next prime (100000010202149).

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

It is not a de Polignac number, because 100000010202123 - 2¹⁷ = 100000010071051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000010202099 and 100000010202108.

It is not an unprimeable number, because it can be changed into a prime (100000010202193) 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, 273224071408 + ... + 273224071773.

It is an arithmetic number, because the mean of its divisors is an integer number (16939892438642).

Almost surely, 2^{100000010202123} is an apocalyptic number.

100000010202123 is a deficient number, since it is larger than the sum of its proper divisors (35519129307013).

100000010202123 is an equidigital number, since it uses as much as digits as its factorization.

100000010202123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546448143245.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100000010202123 its reverse (321202010000001), we get a palindrome (421202020202124).

The spelling of 100000010202123 in words is "one hundred trillion, ten million, two hundred two thousand, one hundred twenty-three".