210202002120 has 128 divisors (see below), whose sum is σ = 688811351040. Its totient is φ = 50893059840.

The previous prime is 210202002107. The next prime is 210202002137. The reversal of 210202002120 is 21200202012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210202002096 and 210202002105.

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, 937669 + ... + 1140011.

It is an arithmetic number, because the mean of its divisors is an integer number (5381338680).

Almost surely, 2^210202002120 is an apocalyptic number.

210202002120 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 210202002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344405675520).

210202002120 is an abundant number, since it is smaller than the sum of its proper divisors (478609348920).

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

210202002120 is a wasteful number, since it uses less digits than its factorization.

210202002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203155 (or 203151 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210202002120 its reverse (21200202012), we get a palindrome (231402204132).

The spelling of 210202002120 in words is "two hundred ten billion, two hundred two million, two thousand, one hundred twenty".