10702211120 has 20 divisors (see below), whose sum is σ = 24882641040. Its totient is φ = 4280884416.

The previous prime is 10702211101. The next prime is 10702211123. The reversal of 10702211120 is 2111220701.

10702211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10702211120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10702211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66888740 + ... + 66888899.

It is an arithmetic number, because the mean of its divisors is an integer number (1244132052).

Almost surely, 2^10702211120 is an apocalyptic number.

10702211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10702211120 is an abundant number, since it is smaller than the sum of its proper divisors (14180429920).

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

10702211120 is a wasteful number, since it uses less digits than its factorization.

10702211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133777652 (or 133777646 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10702211120 its reverse (2111220701), we get a palindrome (12813431821).

The spelling of 10702211120 in words is "ten billion, seven hundred two million, two hundred eleven thousand, one hundred twenty".