100101221212121 has 16 divisors (see below), whose sum is σ = 100836165598080. Its totient is φ = 99369649653120.

The previous prime is 100101221212103. The next prime is 100101221212127. The reversal of 100101221212121 is 121212122101001.

It is a cyclic number.

It is not a de Polignac number, because 100101221212121 - 2¹⁰ = 100101221211097 is a prime.

It is a super-3 number, since 3×100101221212121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101221212121.

It is not an unprimeable number, because it can be changed into a prime (100101221212127) 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, 81511181 + ... + 82730133.

It is an arithmetic number, because the mean of its divisors is an integer number (6302260349880).

Almost surely, 2^{100101221212121} is an apocalyptic number.

It is an amenable number.

100101221212121 is a deficient number, since it is larger than the sum of its proper divisors (734944385959).

100101221212121 is a wasteful number, since it uses less digits than its factorization.

100101221212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220336.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100101221212121 its reverse (121212122101001), we get a palindrome (221313343313122).

The spelling of 100101221212121 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty-one".