202000002120 has 256 divisors, whose sum is σ = 788293900800. Its totient is φ = 45045227520.

The previous prime is 202000002089. The next prime is 202000002143. The reversal of 202000002120 is 21200000202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 15889 + ... + 635808.

It is an arithmetic number, because the mean of its divisors is an integer number (3079273050).

Almost surely, 2^202000002120 is an apocalyptic number.

202000002120 is a gapful number since it is divisible by the number (20) 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 202000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394146950400).

202000002120 is an abundant number, since it is smaller than the sum of its proper divisors (586293898680).

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

202000002120 is a wasteful number, since it uses less digits than its factorization.

202000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651765 (or 651755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202000002120 its reverse (21200000202), we get a palindrome (223200002322).

The spelling of 202000002120 in words is "two hundred two billion, two thousand, one hundred twenty".