100112021101 has 2 divisors, whose sum is σ = 100112021102. Its totient is φ = 100112021100.

The previous prime is 100112021099. The next prime is 100112021131. The reversal of 100112021101 is 101120211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52773575625 + 47338445476 = 229725^2 + 217574^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112021101 - 2¹ = 100112021099 is a prime.

Together with 100112021099, 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 (100112021131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056010550 + 50056010551.

It is an arithmetic number, because the mean of its divisors is an integer number (50056010551).

Almost surely, 2^100112021101 is an apocalyptic number.

It is an amenable number.

100112021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112021101 is an equidigital number, since it uses as much as digits as its factorization.

100112021101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112021101 its reverse (101120211001), we get a palindrome (201232232102).

The spelling of 100112021101 in words is "one hundred billion, one hundred twelve million, twenty-one thousand, one hundred one".