211201100000202 has 256 divisors, whose sum is σ = 466986323865600. Its totient is φ = 63287387750400.

The previous prime is 211201100000159. The next prime is 211201100000213. The reversal of 211201100000202 is 202000001102112.

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, 146769352999 + ... + 146769354437.

It is an arithmetic number, because the mean of its divisors is an integer number (1824165327600).

Almost surely, 2^{211201100000202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201100000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233493161932800).

211201100000202 is an abundant number, since it is smaller than the sum of its proper divisors (255785223865398).

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

211201100000202 is a wasteful number, since it uses less digits than its factorization.

211201100000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211201100000202 its reverse (202000001102112), we get a palindrome (413201101102314).

The spelling of 211201100000202 in words is "two hundred eleven trillion, two hundred one billion, one hundred million, two hundred two", and thus it is an aban number.