1010123097984 has 1024 divisors, whose sum is σ = 4132380672000. Its totient is φ = 234349977600.

The previous prime is 1010123097959. The next prime is 1010123098037. The reversal of 1010123097984 is 4897903210101.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107238427 + ... + 107247845.

It is an arithmetic number, because the mean of its divisors is an integer number (4035528000).

Almost surely, 2^{1010123097984} is an apocalyptic number.

1010123097984 is a gapful number since it is divisible by the number (14) 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 1010123097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066190336000).

1010123097984 is an abundant number, since it is smaller than the sum of its proper divisors (3122257574016).

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

1010123097984 is a wasteful number, since it uses less digits than its factorization.

1010123097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1010123097984 in words is "one trillion, ten billion, one hundred twenty-three million, ninety-seven thousand, nine hundred eighty-four".