210120100202012 has 384 divisors, whose sum is σ = 552774906593280. Its totient is φ = 67149471744000.

The previous prime is 210120100201909. The next prime is 210120100202081. The reversal of 210120100202012 is 210202001021012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85300064 + ... + 87728792.

It is an arithmetic number, because the mean of its divisors is an integer number (1439517985920).

Almost surely, 2^{210120100202012} is an apocalyptic number.

210120100202012 is a gapful number since it is divisible by the number (22) 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 210120100202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276387453296640).

210120100202012 is an abundant number, since it is smaller than the sum of its proper divisors (342654806391268).

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

210120100202012 is a wasteful number, since it uses less digits than its factorization.

210120100202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428853 (or 2428851 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210120100202012 its reverse (210202001021012), we get a palindrome (420322101223024).

The spelling of 210120100202012 in words is "two hundred ten trillion, one hundred twenty billion, one hundred million, two hundred two thousand, twelve".