10002110211100 has 36 divisors (see below), whose sum is σ = 24805233325264. Its totient is φ = 3429294929280.

The previous prime is 10002110211091. The next prime is 10002110211101. The reversal of 10002110211100 is 111201120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002110211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7144363737 + ... + 7144365136.

Almost surely, 2^{10002110211100} is an apocalyptic number.

10002110211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002110211100 is an abundant number, since it is smaller than the sum of its proper divisors (14803123114164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002110211100 is a wasteful number, since it uses less digits than its factorization.

10002110211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288728894 (or 14288728887 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10002110211100 its reverse (111201120001), we get a palindrome (10113311331101).

The spelling of 10002110211100 in words is "ten trillion, two billion, one hundred ten million, two hundred eleven thousand, one hundred".