11212101000 has 320 divisors, whose sum is σ = 39498030000. Its totient is φ = 2966630400.

The previous prime is 11212100993. The next prime is 11212101013. The reversal of 11212101000 is 10121211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1400406084 + 9811694916 = 37422^2 + 99054^2 .

It is a super-2 number, since 2×11212101000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12068536 + ... + 12069464.

Almost surely, 2^11212101000 is an apocalyptic number.

11212101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749015000).

11212101000 is an abundant number, since it is smaller than the sum of its proper divisors (28285929000).

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

11212101000 is a wasteful number, since it uses less digits than its factorization.

11212101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1088 counting only the distinct ones).

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

Adding to 11212101000 its reverse (10121211), we get a palindrome (11222222211).

The spelling of 11212101000 in words is "eleven billion, two hundred twelve million, one hundred one thousand".