100202121123 has 32 divisors (see below), whose sum is σ = 152590233600. Its totient is φ = 57941623296.

The previous prime is 100202121121. The next prime is 100202121137. The reversal of 100202121123 is 321121202001.

It is not a de Polignac number, because 100202121123 - 2¹ = 100202121121 is a prime.

It is a super-2 number, since 2×100202121123² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100202121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288318 + ... + 532476.

It is an arithmetic number, because the mean of its divisors is an integer number (4768444800).

Almost surely, 2^100202121123 is an apocalyptic number.

100202121123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100202121123 is a deficient number, since it is larger than the sum of its proper divisors (52388112477).

100202121123 is a wasteful number, since it uses less digits than its factorization.

100202121123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244811.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100202121123 its reverse (321121202001), we get a palindrome (421323323124).

The spelling of 100202121123 in words is "one hundred billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty-three".