100210021211117 has 2 divisors, whose sum is σ = 100210021211118. Its totient is φ = 100210021211116.

The previous prime is 100210021211101. The next prime is 100210021211141. The reversal of 100210021211117 is 711112120012001.

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., 59665907345641 + 40544113865476 = 7724371^2 + 6367426^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210021211117 - 2⁴ = 100210021211101 is a prime.

It is a super-2 number, since 2×100210021211117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210021213117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105010605558 + 50105010605559.

It is an arithmetic number, because the mean of its divisors is an integer number (50105010605559).

Almost surely, 2^{100210021211117} is an apocalyptic number.

It is an amenable number.

100210021211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210021211117 is an equidigital number, since it uses as much as digits as its factorization.

100210021211117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 100210021211117 its reverse (711112120012001), we get a palindrome (811322141223118).

The spelling of 100210021211117 in words is "one hundred trillion, two hundred ten billion, twenty-one million, two hundred eleven thousand, one hundred seventeen".