1010012252993 has 2 divisors, whose sum is σ = 1010012252994. Its totient is φ = 1010012252992.

The previous prime is 1010012252971. The next prime is 1010012253013. The reversal of 1010012252993 is 3992522100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 901802834689 + 108209418304 = 949633^2 + 328952^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010012252993 - 2¹⁸ = 1010011990849 is a prime.

It is a super-3 number, since 3×1010012252993³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1010012552993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505006126496 + 505006126497.

It is an arithmetic number, because the mean of its divisors is an integer number (505006126497).

Almost surely, 2^{1010012252993} is an apocalyptic number.

It is an amenable number.

1010012252993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010012252993 is an equidigital number, since it uses as much as digits as its factorization.

1010012252993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 1010012252993 in words is "one trillion, ten billion, twelve million, two hundred fifty-two thousand, nine hundred ninety-three".