201101010010993 has 12 divisors (see below), whose sum is σ = 210225461206180. Its totient is φ = 192356777897856.

The previous prime is 201101010010883. The next prime is 201101010011017. The reversal of 201101010010993 is 399010010101102.

It can be written as a sum of positive squares in 2 ways, for example, as 114367774438369 + 86733235572624 = 10694287^2 + 9313068^2 .

It is a de Polignac number, because none of the positive numbers 2^k-201101010010993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201101010010793) 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 11 ways as a sum of consecutive naturals, for example, 193566205 + ... + 194602357.

Almost surely, 2^{201101010010993} is an apocalyptic number.

201101010010993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

201101010010993 is a deficient number, since it is larger than the sum of its proper divisors (9124451195187).

201101010010993 is a wasteful number, since it uses less digits than its factorization.

201101010010993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403088 (or 1403065 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 201101010010993 in words is "two hundred one trillion, one hundred one billion, ten million, ten thousand, nine hundred ninety-three".