11000210002120 has 32 divisors (see below), whose sum is σ = 25603937076600. Its totient is φ = 4248356965888.

The previous prime is 11000210002037. The next prime is 11000210002127. The reversal of 11000210002120 is 2120001200011.

It can be written as a sum of positive squares in 4 ways, for example, as 8780068281924 + 2220141720196 = 2963118^2 + 1490014^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11000210002097 and 11000210002106.

It is not an unprimeable number, because it can be changed into a prime (11000210002127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4741468669 + ... + 4741470988.

Almost surely, 2^{11000210002120} is an apocalyptic number.

11000210002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000210002120 is an abundant number, since it is smaller than the sum of its proper divisors (14603727074480).

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

11000210002120 is a wasteful number, since it uses less digits than its factorization.

11000210002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9482939697 (or 9482939693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000210002120 its reverse (2120001200011), we get a palindrome (13120211202131).

The spelling of 11000210002120 in words is "eleven trillion, two hundred ten million, two thousand, one hundred twenty".