10114202980 has 96 divisors (see below), whose sum is σ = 25143955200. Its totient is φ = 3343775232.

The previous prime is 10114202953. The next prime is 10114202981. The reversal of 10114202980 is 8920241101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10114202981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4988727 + ... + 4990753.

It is an arithmetic number, because the mean of its divisors is an integer number (261916200).

Almost surely, 2^10114202980 is an apocalyptic number.

10114202980 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 10114202980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571977600).

10114202980 is an abundant number, since it is smaller than the sum of its proper divisors (15029752220).

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

10114202980 is a wasteful number, since it uses less digits than its factorization.

10114202980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 10114202980 in words is "ten billion, one hundred fourteen million, two hundred two thousand, nine hundred eighty".