1002122121120 has 96 divisors (see below), whose sum is σ = 3157198648128. Its totient is φ = 267189055488.

The previous prime is 1002122121109. The next prime is 1002122121131. The reversal of 1002122121120 is 211212212001.

It is an interprime number because it is at equal distance from previous prime (1002122121109) and next prime (1002122121131).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002122121120.

It is an unprimeable number.

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, 2836527 + ... + 3170193.

It is an arithmetic number, because the mean of its divisors is an integer number (32887485918).

Almost surely, 2^{1002122121120} is an apocalyptic number.

1002122121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122121120 is an abundant number, since it is smaller than the sum of its proper divisors (2155076527008).

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

1002122121120 is a wasteful number, since it uses less digits than its factorization.

1002122121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339942 (or 339934 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1002122121120 its reverse (211212212001), we get a palindrome (1213334333121).

The spelling of 1002122121120 in words is "one trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".