10211311140 has 96 divisors (see below), whose sum is σ = 28865700864. Its totient is φ = 2697002880.

The previous prime is 10211311087. The next prime is 10211311141. The reversal of 10211311140 is 4111311201.

It is a super-3 number, since 3×10211311140³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10211311141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5713327 + ... + 5715113.

It is an arithmetic number, because the mean of its divisors is an integer number (300684384).

Almost surely, 2^10211311140 is an apocalyptic number.

10211311140 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 10211311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432850432).

10211311140 is an abundant number, since it is smaller than the sum of its proper divisors (18654389724).

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

10211311140 is a wasteful number, since it uses less digits than its factorization.

10211311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10211311140 its reverse (4111311201), we get a palindrome (14322622341).

The spelling of 10211311140 in words is "ten billion, two hundred eleven million, three hundred eleven thousand, one hundred forty".