11211001100010 has 192 divisors, whose sum is σ = 30037883945472. Its totient is φ = 2898956003328.

The previous prime is 11211001099937. The next prime is 11211001100011. The reversal of 11211001100010 is 1000110011211.

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 = 11211001099965 and 11211001100001.

It is not an unprimeable number, because it can be changed into a prime (11211001100011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1398399522 + ... + 1398407538.

It is an arithmetic number, because the mean of its divisors is an integer number (156447312216).

Almost surely, 2^{11211001100010} is an apocalyptic number.

11211001100010 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 11211001100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018941972736).

11211001100010 is an abundant number, since it is smaller than the sum of its proper divisors (18826882845462).

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

11211001100010 is a wasteful number, since it uses less digits than its factorization.

11211001100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9437 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11211001100010 its reverse (1000110011211), we get a palindrome (12211111111221).

The spelling of 11211001100010 in words is "eleven trillion, two hundred eleven billion, one million, one hundred thousand, ten".