100210020210101 has 2 divisors, whose sum is σ = 100210020210102. Its totient is φ = 100210020210100.

The previous prime is 100210020210073. The next prime is 100210020210103. The reversal of 100210020210101 is 101012020012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100017100731025 + 192919479076 = 10000855^2 + 439226^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210020210101 - 2²² = 100210016015797 is a prime.

It is a Sophie Germain prime.

Together with 100210020210103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210020210103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105010105050 + 50105010105051.

It is an arithmetic number, because the mean of its divisors is an integer number (50105010105051).

Almost surely, 2^{100210020210101} is an apocalyptic number.

It is an amenable number.

100210020210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210020210101 is an equidigital number, since it uses as much as digits as its factorization.

100210020210101 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 11.

Adding to 100210020210101 its reverse (101012020012001), we get a palindrome (201222040222102).

The spelling of 100210020210101 in words is "one hundred trillion, two hundred ten billion, twenty million, two hundred ten thousand, one hundred one".