100202100201221 has 16 divisors (see below), whose sum is σ = 104579119865088. Its totient is φ = 95826783360000.

The previous prime is 100202100201209. The next prime is 100202100201241. The reversal of 100202100201221 is 122102001202001.

It is a cyclic number.

It is not a de Polignac number, because 100202100201221 - 2²² = 100202096006917 is a prime.

It is a super-3 number, since 3×100202100201221³ (a number of 43 digits) contains 333 as substring.

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 = 100202100201196 and 100202100201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202100201241) 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, 4617384671 + ... + 4617406371.

It is an arithmetic number, because the mean of its divisors is an integer number (6536194991568).

Almost surely, 2^{100202100201221} is an apocalyptic number.

It is an amenable number.

100202100201221 is a deficient number, since it is larger than the sum of its proper divisors (4377019663867).

100202100201221 is a wasteful number, since it uses less digits than its factorization.

100202100201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51652.

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

Adding to 100202100201221 its reverse (122102001202001), we get a palindrome (222304101403222).

The spelling of 100202100201221 in words is "one hundred trillion, two hundred two billion, one hundred million, two hundred one thousand, two hundred twenty-one".