212201201011002 has 128 divisors (see below), whose sum is σ = 497965984972800. Its totient is φ = 59033535215616.

The previous prime is 212201201010991. The next prime is 212201201011021. The reversal of 212201201011002 is 200110102102212.

212201201011002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1941774999 + ... + 1941884277.

It is an arithmetic number, because the mean of its divisors is an integer number (3890359257600).

Almost surely, 2^{212201201011002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201201011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248982992486400).

212201201011002 is an abundant number, since it is smaller than the sum of its proper divisors (285764783961798).

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

212201201011002 is a wasteful number, since it uses less digits than its factorization.

212201201011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117460.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212201201011002 its reverse (200110102102212), we get a palindrome (412311303113214).

The spelling of 212201201011002 in words is "two hundred twelve trillion, two hundred one billion, two hundred one million, eleven thousand, two".