212210211002202 has 256 divisors, whose sum is σ = 553954222080000. Its totient is φ = 60191045599104.

The previous prime is 212210211002183. The next prime is 212210211002213. The reversal of 212210211002202 is 202200112012212.

It is a happy number.

212210211002202 is a `hidden beast` number, since 21 + 2 + 210 + 211 + 0 + 0 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1482744198 + ... + 1482887310.

It is an arithmetic number, because the mean of its divisors is an integer number (2163883680000).

Almost surely, 2^{212210211002202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210211002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276977111040000).

212210211002202 is an abundant number, since it is smaller than the sum of its proper divisors (341744011077798).

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

212210211002202 is a wasteful number, since it uses less digits than its factorization.

212210211002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143727 (or 143707 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212210211002202 its reverse (202200112012212), we get a palindrome (414410323014414).

The spelling of 212210211002202 in words is "two hundred twelve trillion, two hundred ten billion, two hundred eleven million, two thousand, two hundred two".