10121488050 has 144 divisors (see below), whose sum is σ = 26860780800. Its totient is φ = 2521635840.

The previous prime is 10121488021. The next prime is 10121488151. The reversal of 10121488050 is 5088412101.

It is a happy number.

10121488050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10121487999 and 10121488017.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6458367 + ... + 6459933.

It is an arithmetic number, because the mean of its divisors is an integer number (186533200).

Almost surely, 2^10121488050 is an apocalyptic number.

10121488050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121488050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430390400).

10121488050 is an abundant number, since it is smaller than the sum of its proper divisors (16739292750).

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

10121488050 is a wasteful number, since it uses less digits than its factorization.

10121488050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The spelling of 10121488050 in words is "ten billion, one hundred twenty-one million, four hundred eighty-eight thousand, fifty".