100120012211101 has 2 divisors, whose sum is σ = 100120012211102. Its totient is φ = 100120012211100.

The previous prime is 100120012211099. The next prime is 100120012211147. The reversal of 100120012211101 is 101112210021001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87433065819225 + 12686946391876 = 9350565^2 + 3561874^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120012211101 - 2¹ = 100120012211099 is a prime.

Together with 100120012211099, 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 (100120012211161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060006105550 + 50060006105551.

It is an arithmetic number, because the mean of its divisors is an integer number (50060006105551).

Almost surely, 2^{100120012211101} is an apocalyptic number.

It is an amenable number.

100120012211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120012211101 is an equidigital number, since it uses as much as digits as its factorization.

100120012211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100120012211101 its reverse (101112210021001), we get a palindrome (201232222232102).

The spelling of 100120012211101 in words is "one hundred trillion, one hundred twenty billion, twelve million, two hundred eleven thousand, one hundred one".