210100120121010 has 384 divisors, whose sum is σ = 606601216327680. Its totient is φ = 46388317248000.

The previous prime is 210100120121009. The next prime is 210100120121029. The reversal of 210100120121010 is 10121021001012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107688425535 + ... + 107688427485.

It is an arithmetic number, because the mean of its divisors is an integer number (1579690667520).

Almost surely, 2^{210100120121010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210100120121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303300608163840).

210100120121010 is an abundant number, since it is smaller than the sum of its proper divisors (396501096206670).

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

210100120121010 is a wasteful number, since it uses less digits than its factorization.

210100120121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210100120121010 its reverse (10121021001012), we get a palindrome (220221141122022).

The spelling of 210100120121010 in words is "two hundred ten trillion, one hundred billion, one hundred twenty million, one hundred twenty-one thousand, ten".