100202201212201 has 32 divisors (see below), whose sum is σ = 110534858793216. Its totient is φ = 90075790560000.

The previous prime is 100202201212171. The next prime is 100202201212313. The reversal of 100202201212201 is 102212102202001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100202201212201 - 2²⁵ = 100202167657769 is a prime.

It is a super-2 number, since 2×100202201212201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100202201213201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5780998731 + ... + 5781016063.

It is an arithmetic number, because the mean of its divisors is an integer number (3454214337288).

Almost surely, 2^{100202201212201} is an apocalyptic number.

100202201212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100202201212201 is a deficient number, since it is larger than the sum of its proper divisors (10332657581015).

100202201212201 is a wasteful number, since it uses less digits than its factorization.

100202201212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23793.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100202201212201 its reverse (102212102202001), we get a palindrome (202414303414202).

The spelling of 100202201212201 in words is "one hundred trillion, two hundred two billion, two hundred one million, two hundred twelve thousand, two hundred one".