10001030200993 has 16 divisors (see below), whose sum is σ = 10964601204480. Its totient is φ = 9120494474832.

The previous prime is 10001030200969. The next prime is 10001030201011. The reversal of 10001030200993 is 39900203010001.

It is not a de Polignac number, because 10001030200993 - 2²⁵ = 10000996646561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001030200913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27240121 + ... + 27604822.

It is an arithmetic number, because the mean of its divisors is an integer number (685287575280).

Almost surely, 2^{10001030200993} is an apocalyptic number.

10001030200993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10001030200993 is a deficient number, since it is larger than the sum of its proper divisors (963571003487).

10001030200993 is an frugal number, since it uses more digits than its factorization.

10001030200993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54845065 (or 54845039 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

Adding to 10001030200993 its reverse (39900203010001), we get a palindrome (49901233210994).

The spelling of 10001030200993 in words is "ten trillion, one billion, thirty million, two hundred thousand, nine hundred ninety-three".