10211330772 has 120 divisors (see below), whose sum is σ = 28392686784. Its totient is φ = 3189051648.

The previous prime is 10211330749. The next prime is 10211330813. The reversal of 10211330772 is 27703311201.

It is a super-2 number, since 2×10211330772² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1246233 + ... + 1254399.

Almost surely, 2^10211330772 is an apocalyptic number.

10211330772 is a gapful number since it is divisible by the number (12) 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 10211330772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196343392).

10211330772 is an abundant number, since it is smaller than the sum of its proper divisors (18181356012).

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

10211330772 is a wasteful number, since it uses less digits than its factorization.

10211330772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8427 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 10211330772 its reverse (27703311201), we get a palindrome (37914641973).

The spelling of 10211330772 in words is "ten billion, two hundred eleven million, three hundred thirty thousand, seven hundred seventy-two".