10121084928 has 96 divisors (see below), whose sum is σ = 29239095600. Its totient is φ = 3373596672.

The previous prime is 10121084903. The next prime is 10121084947. The reversal of 10121084928 is 82948012101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10121084892 and 10121084901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277753 + ... + 312071.

Almost surely, 2^10121084928 is an apocalyptic number.

10121084928 is a gapful number since it is divisible by the number (18) 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 10121084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619547800).

10121084928 is an abundant number, since it is smaller than the sum of its proper divisors (19118010672).

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

10121084928 is an frugal number, since it uses more digits than its factorization.

10121084928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34355 (or 34324 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10121084928 in words is "ten billion, one hundred twenty-one million, eighty-four thousand, nine hundred twenty-eight".