1012100976 has 120 divisors (see below), whose sum is σ = 2920460400. Its totient is φ = 327011328.

The previous prime is 1012100963. The next prime is 1012100977. The reversal of 1012100976 is 6790012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100977) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 922060 + ... + 923156.

It is an arithmetic number, because the mean of its divisors is an integer number (24337170).

Almost surely, 2^1012100976 is an apocalyptic number.

1012100976 is a gapful number since it is divisible by the number (16) 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 1012100976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460230200).

1012100976 is an abundant number, since it is smaller than the sum of its proper divisors (1908359424).

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

1012100976 is a wasteful number, since it uses less digits than its factorization.

1012100976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1012100976 is about 31813.5344782688. The cubic root of 1012100976 is about 1004.0174967718.

The spelling of 1012100976 in words is "one billion, twelve million, one hundred thousand, nine hundred seventy-six".