100120001012221 has 2 divisors, whose sum is σ = 100120001012222. Its totient is φ = 100120001012220.

The previous prime is 100120001012219. The next prime is 100120001012327. The reversal of 100120001012221 is 122210100021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96404316844900 + 3715684167321 = 9818570^2 + 1927611^2 .

It is an emirp because it is prime and its reverse (122210100021001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100120001012221 - 2¹ = 100120001012219 is a prime.

Together with 100120001012219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120001012921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060000506110 + 50060000506111.

It is an arithmetic number, because the mean of its divisors is an integer number (50060000506111).

Almost surely, 2^{100120001012221} is an apocalyptic number.

It is an amenable number.

100120001012221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120001012221 is an equidigital number, since it uses as much as digits as its factorization.

100120001012221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100120001012221 its reverse (122210100021001), we get a palindrome (222330101033222).

The spelling of 100120001012221 in words is "one hundred trillion, one hundred twenty billion, one million, twelve thousand, two hundred twenty-one".