10211040000 has 540 divisors, whose sum is σ = 42086540496. Its totient is φ = 2331648000.

The previous prime is 10211039989. The next prime is 10211040019. The reversal of 10211040000 is 4011201.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10079494 + ... + 10080506.

Almost surely, 2^10211040000 is an apocalyptic number.

10211040000 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 10211040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21043270248).

10211040000 is an abundant number, since it is smaller than the sum of its proper divisors (31875500496).

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

10211040000 is an equidigital number, since it uses as much as digits as its factorization.

10211040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10211040000 its reverse (4011201), we get a palindrome (10215051201).

The spelling of 10211040000 in words is "ten billion, two hundred eleven million, forty thousand".