1002121020220 has 96 divisors (see below), whose sum is σ = 2207123251200. Its totient is φ = 381472675584.

The previous prime is 1002121020161. The next prime is 1002121020233. The reversal of 1002121020220 is 220201212001.

It is a happy number.

It is a super-4 number, since 4×1002121020220⁴ (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002121020220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145886946 + ... + 145893814.

It is an arithmetic number, because the mean of its divisors is an integer number (22990867200).

Almost surely, 2^{1002121020220} is an apocalyptic number.

1002121020220 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 1002121020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103561625600).

1002121020220 is an abundant number, since it is smaller than the sum of its proper divisors (1205002230980).

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

1002121020220 is a wasteful number, since it uses less digits than its factorization.

1002121020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8467 (or 8465 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002121020220 its reverse (220201212001), we get a palindrome (1222322232221).

The spelling of 1002121020220 in words is "one trillion, two billion, one hundred twenty-one million, twenty thousand, two hundred twenty".