100212202221201 has 48 divisors (see below), whose sum is σ = 173111277171456. Its totient is φ = 54619202930688.

The previous prime is 100212202221169. The next prime is 100212202221221. The reversal of 100212202221201 is 102122202212001.

It is a happy number.

100212202221201 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 220 + 2 + 221 + 201 = 666.

It is not a de Polignac number, because 100212202221201 - 2⁵ = 100212202221169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100212202221221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97448220 + ... + 98471213.

It is an arithmetic number, because the mean of its divisors is an integer number (3606484941072).

Almost surely, 2^{100212202221201} is an apocalyptic number.

It is an amenable number.

100212202221201 is a deficient number, since it is larger than the sum of its proper divisors (72899074950255).

100212202221201 is a wasteful number, since it uses less digits than its factorization.

100212202221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195919822 (or 195919819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100212202221201 its reverse (102122202212001), we get a palindrome (202334404433202).

The spelling of 100212202221201 in words is "one hundred trillion, two hundred twelve billion, two hundred two million, two hundred twenty-one thousand, two hundred one".