101120010221101 has 2 divisors, whose sum is σ = 101120010221102. Its totient is φ = 101120010221100.

The previous prime is 101120010221059. The next prime is 101120010221161. The reversal of 101120010221101 is 101122010021101.

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., 100623970322500 + 496039898601 = 10031150^2 + 704301^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120010221101 - 2⁴³ = 92323917198893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120010221161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560005110550 + 50560005110551.

It is an arithmetic number, because the mean of its divisors is an integer number (50560005110551).

Almost surely, 2^{101120010221101} is an apocalyptic number.

It is an amenable number.

101120010221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120010221101 is an equidigital number, since it uses as much as digits as its factorization.

101120010221101 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 101120010221101 its reverse (101122010021101), we get a palindrome (202242020242202).

The spelling of 101120010221101 in words is "one hundred one trillion, one hundred twenty billion, ten million, two hundred twenty-one thousand, one hundred one".