100200012121 has 4 divisors (see below), whose sum is σ = 109309104144. Its totient is φ = 91090920100.

The previous prime is 100200012109. The next prime is 100200012139. The reversal of 100200012121 is 121210002001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100200012121 - 2⁷ = 100200011993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200012098 and 100200012107.

It is not an unprimeable number, because it can be changed into a prime (100200012161) 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 3 ways as a sum of consecutive naturals, for example, 4554545995 + ... + 4554546016.

It is an arithmetic number, because the mean of its divisors is an integer number (27327276036).

Almost surely, 2^100200012121 is an apocalyptic number.

100200012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200012121 is a deficient number, since it is larger than the sum of its proper divisors (9109092023).

100200012121 is an equidigital number, since it uses as much as digits as its factorization.

100200012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9109092022.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200012121 its reverse (121210002001), we get a palindrome (221410014122).

The spelling of 100200012121 in words is "one hundred billion, two hundred million, twelve thousand, one hundred twenty-one".