100210101112073 has 2 divisors, whose sum is σ = 100210101112074. Its totient is φ = 100210101112072.

The previous prime is 100210101112061. The next prime is 100210101112181. The reversal of 100210101112073 is 370211101012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56852248441849 + 43357852670224 = 7540043^2 + 6584668^2 .

It is an emirp because it is prime and its reverse (370211101012001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210101112073 is a prime.

It is a super-2 number, since 2×100210101112073² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100210101112013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105050556036 + 50105050556037.

It is an arithmetic number, because the mean of its divisors is an integer number (50105050556037).

Almost surely, 2^{100210101112073} is an apocalyptic number.

It is an amenable number.

100210101112073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210101112073 is an equidigital number, since it uses as much as digits as its factorization.

100210101112073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 100210101112073 its reverse (370211101012001), we get a palindrome (470421202124074).

The spelling of 100210101112073 in words is "one hundred trillion, two hundred ten billion, one hundred one million, one hundred twelve thousand, seventy-three".