100101202201123 has 8 divisors (see below), whose sum is σ = 100130348264976. Its totient is φ = 100072059302400.

The previous prime is 100101202201081. The next prime is 100101202201129. The reversal of 100101202201123 is 321102202101001.

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 100101202201123 - 2¹³ = 100101202192931 is a prime.

It is a super-2 number, since 2×100101202201123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101202201097 and 100101202201106.

It is not an unprimeable number, because it can be changed into a prime (100101202201129) 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, 63222528 + ... + 64786498.

It is an arithmetic number, because the mean of its divisors is an integer number (12516293533122).

Almost surely, 2^{100101202201123} is an apocalyptic number.

100101202201123 is a deficient number, since it is larger than the sum of its proper divisors (29146063853).

100101202201123 is a wasteful number, since it uses less digits than its factorization.

100101202201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582565.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100101202201123 its reverse (321102202101001), we get a palindrome (421203404302124).

The spelling of 100101202201123 in words is "one hundred trillion, one hundred one billion, two hundred two million, two hundred one thousand, one hundred twenty-three".