100211122022221 has 12 divisors (see below), whose sum is σ = 116572314024540. Its totient is φ = 85895105614080.

The previous prime is 100211122022213. The next prime is 100211122022251. The reversal of 100211122022221 is 122220221112001.

It can be written as a sum of positive squares in 2 ways, for example, as 82676920509225 + 17534201512996 = 9092685^2 + 4187386^2 .

It is not a de Polignac number, because 100211122022221 - 2³ = 100211122022213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211122022201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37455165 + ... + 40041373.

It is an arithmetic number, because the mean of its divisors is an integer number (9714359502045).

Almost surely, 2^{100211122022221} is an apocalyptic number.

It is an amenable number.

100211122022221 is a deficient number, since it is larger than the sum of its proper divisors (16361192002319).

100211122022221 is an equidigital number, since it uses as much as digits as its factorization.

100211122022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377004 (or 3376997 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100211122022221 its reverse (122220221112001), we get a palindrome (222431343134222).

The spelling of 100211122022221 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty-one".