11211101010 has 192 divisors, whose sum is σ = 32795474400. Its totient is φ = 2642927616.

The previous prime is 11211100969. The next prime is 11211101093. The reversal of 11211101010 is 1010111211.

It can be written as a sum of positive squares in 16 ways, for example, as 4990150881 + 6220950129 = 70641^2 + 78873^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11211100983 and 11211101001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1638276 + ... + 1645104.

Almost surely, 2^11211101010 is an apocalyptic number.

11211101010 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 11211101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397737200).

11211101010 is an abundant number, since it is smaller than the sum of its proper divisors (21584373390).

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

11211101010 is a wasteful number, since it uses less digits than its factorization.

11211101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925 (or 6922 counting only the distinct ones).

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

Adding to 11211101010 its reverse (1010111211), we get a palindrome (12221212221).

The spelling of 11211101010 in words is "eleven billion, two hundred eleven million, one hundred one thousand, ten".