210010211101002 has 128 divisors (see below), whose sum is σ = 471994038835200. Its totient is φ = 61855810560000.

The previous prime is 210010211100979. The next prime is 210010211101043. The reversal of 210010211101002 is 200101112010012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255774802 + ... + 256594562.

It is an arithmetic number, because the mean of its divisors is an integer number (3687453428400).

Almost surely, 2^{210010211101002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210010211101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235997019417600).

210010211101002 is an abundant number, since it is smaller than the sum of its proper divisors (261983827734198).

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

210010211101002 is a wasteful number, since it uses less digits than its factorization.

210010211101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820960.

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

Adding to 210010211101002 its reverse (200101112010012), we get a palindrome (410111323111014).

The spelling of 210010211101002 in words is "two hundred ten trillion, ten billion, two hundred eleven million, one hundred one thousand, two".