1002121331220 has 192 divisors, whose sum is σ = 3141862752000. Its totient is φ = 265164337152.

The previous prime is 1002121331213. The next prime is 1002121331243. The reversal of 1002121331220 is 221331212001.

1002121331220 is a `hidden beast` number, since 100 + 2 + 12 + 1 + 331 + 220 = 666.

It is a super-2 number, since 2×1002121331220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002121331193 and 1002121331202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257679036 + ... + 257682924.

It is an arithmetic number, because the mean of its divisors is an integer number (16363868500).

Almost surely, 2^{1002121331220} is an apocalyptic number.

1002121331220 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 1002121331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570931376000).

1002121331220 is an abundant number, since it is smaller than the sum of its proper divisors (2139741420780).

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

1002121331220 is a wasteful number, since it uses less digits than its factorization.

1002121331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002121331220 its reverse (221331212001), we get a palindrome (1223452543221).

The spelling of 1002121331220 in words is "one trillion, two billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred twenty".