211001210012010 has 256 divisors, whose sum is σ = 570094721925120. Its totient is φ = 49530487772160.

The previous prime is 211001210011931. The next prime is 211001210012053. The reversal of 211001210012010 is 10210012100112.

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, 10164314011 + ... + 10164334769.

It is an arithmetic number, because the mean of its divisors is an integer number (2226932507520).

Almost surely, 2^{211001210012010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211001210012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285047360962560).

211001210012010 is an abundant number, since it is smaller than the sum of its proper divisors (359093511913110).

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

211001210012010 is a wasteful number, since it uses less digits than its factorization.

211001210012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24773.

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

Adding to 211001210012010 its reverse (10210012100112), we get a palindrome (221211222112122).

The spelling of 211001210012010 in words is "two hundred eleven trillion, one billion, two hundred ten million, twelve thousand, ten".