10735221000 has 128 divisors (see below), whose sum is σ = 38278805760. Its totient is φ = 2453760000.

The previous prime is 10735220999. The next prime is 10735221001. The reversal of 10735221000 is 12253701.

It is an interprime number because it is at equal distance from previous prime (10735220999) and next prime (10735221001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10735221001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234601 + ... + 276600.

It is an arithmetic number, because the mean of its divisors is an integer number (299053170).

Almost surely, 2^10735221000 is an apocalyptic number.

10735221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10735221000 is an abundant number, since it is smaller than the sum of its proper divisors (27543584760).

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

10735221000 is a wasteful number, since it uses less digits than its factorization.

10735221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511232 (or 511218 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 10735221000 its reverse (12253701), we get a palindrome (10747474701).

The spelling of 10735221000 in words is "ten billion, seven hundred thirty-five million, two hundred twenty-one thousand".