100121110210121 has 16 divisors (see below), whose sum is σ = 134428343779968. Its totient is φ = 72015184166400.

The previous prime is 100121110210021. The next prime is 100121110210133. The reversal of 100121110210121 is 121012011121001.

It is a cyclic number.

It is not a de Polignac number, because 100121110210121 - 2²⁶ = 100121043101257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121110210096 and 100121110210105.

It is not an unprimeable number, because it can be changed into a prime (100121110210021) 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 15 ways as a sum of consecutive naturals, for example, 50010543560 + ... + 50010545561.

It is an arithmetic number, because the mean of its divisors is an integer number (8401771486248).

Almost surely, 2^{100121110210121} is an apocalyptic number.

100121110210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121110210121 is a deficient number, since it is larger than the sum of its proper divisors (34307233569847).

100121110210121 is a wasteful number, since it uses less digits than its factorization.

100121110210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100021089152.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100121110210121 its reverse (121012011121001), we get a palindrome (221133121331122).

The spelling of 100121110210121 in words is "one hundred trillion, one hundred twenty-one billion, one hundred ten million, two hundred ten thousand, one hundred twenty-one".