100221200002121 has 16 divisors (see below), whose sum is σ = 113103517104000. Its totient is φ = 87967500633600.

The previous prime is 100221200002117. The next prime is 100221200002177. The reversal of 100221200002121 is 121200002122001.

It is a cyclic number.

It is not a de Polignac number, because 100221200002121 - 2² = 100221200002117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100221200002096 and 100221200002105.

It is not an unprimeable number, because it can be changed into a prime (100221200022121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28715705 + ... + 32016153.

It is an arithmetic number, because the mean of its divisors is an integer number (7068969819000).

Almost surely, 2^{100221200002121} is an apocalyptic number.

100221200002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221200002121 is a deficient number, since it is larger than the sum of its proper divisors (12882317101879).

100221200002121 is a wasteful number, since it uses less digits than its factorization.

100221200002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395680.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221200002121 its reverse (121200002122001), we get a palindrome (221421202124122).

The spelling of 100221200002121 in words is "one hundred trillion, two hundred twenty-one billion, two hundred million, two thousand, one hundred twenty-one".