10100100010073 has 2 divisors, whose sum is σ = 10100100010074. Its totient is φ = 10100100010072.

The previous prime is 10100100010057. The next prime is 10100100010123. The reversal of 10100100010073 is 37001000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7545943072144 + 2554156937929 = 2746988^2 + 1598173^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100010073 - 2⁴ = 10100100010057 is a prime.

It is a super-2 number, since 2×10100100010073² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100100010043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050005036 + 5050050005037.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050005037).

Almost surely, 2^{10100100010073} is an apocalyptic number.

It is an amenable number.

10100100010073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100010073 is an equidigital number, since it uses as much as digits as its factorization.

10100100010073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 14.

Adding to 10100100010073 its reverse (37001000100101), we get a palindrome (47101100110174).

The spelling of 10100100010073 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, seventy-three".