10202120760 has 128 divisors (see below), whose sum is σ = 32999662080. Its totient is φ = 2508323328.

The previous prime is 10202120723. The next prime is 10202120771. The reversal of 10202120760 is 6702120201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505139 + ... + 1511901.

It is an arithmetic number, because the mean of its divisors is an integer number (257809860).

Almost surely, 2^10202120760 is an apocalyptic number.

10202120760 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 10202120760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499831040).

10202120760 is an abundant number, since it is smaller than the sum of its proper divisors (22797541320).

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

10202120760 is a wasteful number, since it uses less digits than its factorization.

10202120760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7757 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10202120760 its reverse (6702120201), we get a palindrome (16904240961).

The spelling of 10202120760 in words is "ten billion, two hundred two million, one hundred twenty thousand, seven hundred sixty".