11000101200210 has 96 divisors (see below), whose sum is σ = 29598440966640. Its totient is φ = 2831064897024.

The previous prime is 11000101200199. The next prime is 11000101200223. The reversal of 11000101200210 is 1200210100011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2357259703569 + 8642841496641 = 1535337^2 + 2939871^2 .

It is a super-2 number, since 2×11000101200210² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000101200192 and 11000101200201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5614224 + ... + 7315716.

Almost surely, 2^{11000101200210} is an apocalyptic number.

11000101200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000101200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799220483320).

11000101200210 is an abundant number, since it is smaller than the sum of its proper divisors (18598339766430).

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

11000101200210 is a wasteful number, since it uses less digits than its factorization.

11000101200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704012 (or 1704009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000101200210 its reverse (1200210100011), we get a palindrome (12200311300221).

The spelling of 11000101200210 in words is "eleven trillion, one hundred one million, two hundred thousand, two hundred ten".