10121760000 has 900 divisors, whose sum is σ = 41722569504. Its totient is φ = 2419200000.

The previous prime is 10121759969. The next prime is 10121760001. The reversal of 10121760000 is 6712101.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121760001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 142559965 + ... + 142560035.

Almost surely, 2^10121760000 is an apocalyptic number.

10121760000 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 10121760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861284752).

10121760000 is an abundant number, since it is smaller than the sum of its proper divisors (31600809504).

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

10121760000 is an frugal number, since it uses more digits than its factorization.

10121760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 10121760000 in words is "ten billion, one hundred twenty-one million, seven hundred sixty thousand".