1002120101024 has 96 divisors (see below), whose sum is σ = 2280809664000. Its totient is φ = 424523151360.

The previous prime is 1002120101023. The next prime is 1002120101027. The reversal of 1002120101024 is 4201010212001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1002120101023) 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 15 ways as a sum of consecutive naturals, for example, 91520702 + ... + 91531650.

It is an arithmetic number, because the mean of its divisors is an integer number (23758434000).

Almost surely, 2^{1002120101024} is an apocalyptic number.

1002120101024 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 1002120101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140404832000).

1002120101024 is an abundant number, since it is smaller than the sum of its proper divisors (1278689562976).

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

1002120101024 is a wasteful number, since it uses less digits than its factorization.

1002120101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15646 (or 15638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002120101024 its reverse (4201010212001), we get a palindrome (5203130313025).

The spelling of 1002120101024 in words is "one trillion, two billion, one hundred twenty million, one hundred one thousand, twenty-four".