201220211002122 has 512 divisors, whose sum is σ = 506192030023680. Its totient is φ = 58851878400000.

The previous prime is 201220211002103. The next prime is 201220211002133. The reversal of 201220211002122 is 221200112022102.

It is a happy number.

201220211002122 is a `hidden beast` number, since 20 + 1 + 220 + 211 + 0 + 0 + 212 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201220211002095 and 201220211002104.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47898167622 + ... + 47898171822.

It is an arithmetic number, because the mean of its divisors is an integer number (988656308640).

Almost surely, 2^{201220211002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220211002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253096015011840).

201220211002122 is an abundant number, since it is smaller than the sum of its proper divisors (304971819021558).

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

201220211002122 is a wasteful number, since it uses less digits than its factorization.

201220211002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4621 counting only the distinct ones).

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

Adding to 201220211002122 its reverse (221200112022102), we get a palindrome (422420323024224).

The spelling of 201220211002122 in words is "two hundred one trillion, two hundred twenty billion, two hundred eleven million, two thousand, one hundred twenty-two".