100210102010993 has 12 divisors (see below), whose sum is σ = 108696388490928. Its totient is φ = 92344048832880.

The previous prime is 100210102010969. The next prime is 100210102011011. The reversal of 100210102010993 is 399010201012001.

It is not a de Polignac number, because 100210102010993 - 2¹⁸ = 100210101748849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210102010923) 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, 504976763 + ... + 505175168.

It is an arithmetic number, because the mean of its divisors is an integer number (9058032374244).

Almost surely, 2^{100210102010993} is an apocalyptic number.

100210102010993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100210102010993 is a deficient number, since it is larger than the sum of its proper divisors (8486286479935).

100210102010993 is a wasteful number, since it uses less digits than its factorization.

100210102010993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010152544 (or 1010152531 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 29.

Adding to 100210102010993 its reverse (399010201012001), we get a palindrome (499220303022994).

The spelling of 100210102010993 in words is "one hundred trillion, two hundred ten billion, one hundred two million, ten thousand, nine hundred ninety-three".