100201201221201 has 16 divisors (see below), whose sum is σ = 133680736068096. Its totient is φ = 66761241434496.

The previous prime is 100201201221157. The next prime is 100201201221229. The reversal of 100201201221201 is 102122102102001.

It is not a de Polignac number, because 100201201221201 - 2¹⁴ = 100201201204817 is a prime.

It is a super-2 number, since 2×100201201221201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201201220201) 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, 50412031 + ... + 52361963.

It is an arithmetic number, because the mean of its divisors is an integer number (8355046004256).

Almost surely, 2^{100201201221201} is an apocalyptic number.

It is an amenable number.

100201201221201 is a deficient number, since it is larger than the sum of its proper divisors (33479534846895).

100201201221201 is a wasteful number, since it uses less digits than its factorization.

100201201221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960072.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100201201221201 its reverse (102122102102001), we get a palindrome (202323303323202).

The spelling of 100201201221201 in words is "one hundred trillion, two hundred one billion, two hundred one million, two hundred twenty-one thousand, two hundred one".