100121202202121 has 16 divisors (see below), whose sum is σ = 104711531403600. Its totient is φ = 95609915751168.

The previous prime is 100121202202097. The next prime is 100121202202129. The reversal of 100121202202121 is 121202202121001.

It can be written as a sum of positive squares in 8 ways, for example, as 2661580159225 + 97459622042896 = 1631435^2 + 9872164^2 .

It is not a de Polignac number, because 100121202202121 - 2¹⁸ = 100121201939977 is a prime.

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 100121202202121.

It is not an unprimeable number, because it can be changed into a prime (100121202202129) 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, 26671910 + ... + 30193263.

It is an arithmetic number, because the mean of its divisors is an integer number (6544470712725).

Almost surely, 2^{100121202202121} is an apocalyptic number.

It is an amenable number.

100121202202121 is a deficient number, since it is larger than the sum of its proper divisors (4590329201479).

100121202202121 is a wasteful number, since it uses less digits than its factorization.

100121202202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56865868.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100121202202121 its reverse (121202202121001), we get a palindrome (221323404323122).

The spelling of 100121202202121 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, two hundred two thousand, one hundred twenty-one".