1010101009993 has 4 divisors (see below), whose sum is σ = 1010718055620. Its totient is φ = 1009483964368.

The previous prime is 1010101009963. The next prime is 1010101010027. The reversal of 1010101009993 is 3999001010101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 368384660809 + 641716349184 = 606947^2 + 801072^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010101009993 - 2²⁹ = 1009564139081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010101009943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 308520358 + ... + 308523631.

It is an arithmetic number, because the mean of its divisors is an integer number (252679513905).

Almost surely, 2^{1010101009993} is an apocalyptic number.

It is an amenable number.

1010101009993 is a deficient number, since it is larger than the sum of its proper divisors (617045627).

1010101009993 is an equidigital number, since it uses as much as digits as its factorization.

1010101009993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617045626.

The product of its (nonzero) digits is 2187, while the sum is 34.

The spelling of 1010101009993 in words is "one trillion, ten billion, one hundred one million, nine thousand, nine hundred ninety-three".