100121100200121 has 64 divisors (see below), whose sum is σ = 179987723919360. Its totient is φ = 47809238480640.

The previous prime is 100121100200027. The next prime is 100121100200159. The reversal of 100121100200121 is 121002001121001.

It is not a de Polignac number, because 100121100200121 - 2⁷ = 100121100199993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121100200097 and 100121100200106.

It is not an unprimeable number, because it can be changed into a prime (100121100208121) 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 63 ways as a sum of consecutive naturals, for example, 69031990 + ... + 70467423.

It is an arithmetic number, because the mean of its divisors is an integer number (2812308186240).

Almost surely, 2^{100121100200121} is an apocalyptic number.

100121100200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121100200121 is a deficient number, since it is larger than the sum of its proper divisors (79866623719239).

100121100200121 is a wasteful number, since it uses less digits than its factorization.

100121100200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139499686.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100121100200121 its reverse (121002001121001), we get a palindrome (221123101321122).

The spelling of 100121100200121 in words is "one hundred trillion, one hundred twenty-one billion, one hundred million, two hundred thousand, one hundred twenty-one".