100101210021101 has 2 divisors, whose sum is σ = 100101210021102. Its totient is φ = 100101210021100.

The previous prime is 100101210021097. The next prime is 100101210021103. The reversal of 100101210021101 is 101120012101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59676397502500 + 40424812518601 = 7725050^2 + 6358051^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101210021101 - 2² = 100101210021097 is a prime.

Together with 100101210021103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101210021103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050605010550 + 50050605010551.

It is an arithmetic number, because the mean of its divisors is an integer number (50050605010551).

Almost surely, 2^{100101210021101} is an apocalyptic number.

It is an amenable number.

100101210021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101210021101 is an equidigital number, since it uses as much as digits as its factorization.

100101210021101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101210021101 its reverse (101120012101001), we get a palindrome (201221222122102).

The spelling of 100101210021101 in words is "one hundred trillion, one hundred one billion, two hundred ten million, twenty-one thousand, one hundred one".