100201112331221 has 8 divisors (see below), whose sum is σ = 109310437502688. Its totient is φ = 91091809350000.

The previous prime is 100201112331193. The next prime is 100201112331227. The reversal of 100201112331221 is 122133211102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201112331221 - 2³⁸ = 99926234424277 is a prime.

It is a super-2 number, since 2×100201112331221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201112331193 and 100201112331202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201112331227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4720346 + ... + 14922596.

It is an arithmetic number, because the mean of its divisors is an integer number (13663804687836).

Almost surely, 2^{100201112331221} is an apocalyptic number.

100201112331221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201112331221 is a deficient number, since it is larger than the sum of its proper divisors (9109325171467).

100201112331221 is a wasteful number, since it uses less digits than its factorization.

100201112331221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095123.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100201112331221 its reverse (122133211102001), we get a palindrome (222334323433222).

The spelling of 100201112331221 in words is "one hundred trillion, two hundred one billion, one hundred twelve million, three hundred thirty-one thousand, two hundred twenty-one".