100211212122201 has 6 divisors (see below), whose sum is σ = 144749528620970. Its totient is φ = 66807474748128.

The previous prime is 100211212122149. The next prime is 100211212122221. The reversal of 100211212122201 is 102221212112001.

100211212122201 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 21 + 212 + 220 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54226213184025 + 45984998938176 = 7363845^2 + 6781224^2 .

It is not a de Polignac number, because 100211212122201 - 2⁴⁶ = 29842467944537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211212122221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5567289562336 + ... + 5567289562353.

Almost surely, 2^{100211212122201} is an apocalyptic number.

It is an amenable number.

100211212122201 is a deficient number, since it is larger than the sum of its proper divisors (44538316498769).

100211212122201 is a wasteful number, since it uses less digits than its factorization.

100211212122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134579124695 (or 11134579124692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100211212122201 its reverse (102221212112001), we get a palindrome (202432424234202).

The spelling of 100211212122201 in words is "one hundred trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, two hundred one".