1002120202100 has 72 divisors (see below), whose sum is σ = 2189113825248. Its totient is φ = 398175523200.

The previous prime is 1002120202079. The next prime is 1002120202117. The reversal of 1002120202100 is 12020212001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32372630 + ... + 32403570.

It is an arithmetic number, because the mean of its divisors is an integer number (30404358684).

Almost surely, 2^{1002120202100} is an apocalyptic number.

1002120202100 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 1002120202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094556912624).

1002120202100 is an abundant number, since it is smaller than the sum of its proper divisors (1186993623148).

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

1002120202100 is a wasteful number, since it uses less digits than its factorization.

1002120202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33105 (or 33098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002120202100 its reverse (12020212001), we get a palindrome (1014140414101).

Subtracting from 1002120202100 its reverse (12020212001), we obtain a palindrome (990099990099).

The spelling of 1002120202100 in words is "one trillion, two billion, one hundred twenty million, two hundred two thousand, one hundred".