221012202002202 has 192 divisors, whose sum is σ = 531413743660800. Its totient is φ = 65953686758400.

The previous prime is 221012202002191. The next prime is 221012202002213. The reversal of 221012202002202 is 202200202210122.

221012202002202 is a `hidden beast` number, since 2 + 21 + 0 + 1 + 220 + 200 + 220 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (221012202002191) and next prime (221012202002213).

It is a super-2 number, since 2×221012202002202² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3629725374 + ... + 3629786262.

It is an arithmetic number, because the mean of its divisors is an integer number (2767779914900).

Almost surely, 2^{221012202002202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012202002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265706871830400).

221012202002202 is an abundant number, since it is smaller than the sum of its proper divisors (310401541658598).

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

221012202002202 is a wasteful number, since it uses less digits than its factorization.

221012202002202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63493 (or 63490 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221012202002202 its reverse (202200202210122), we get a palindrome (423212404212324).

The spelling of 221012202002202 in words is "two hundred twenty-one trillion, twelve billion, two hundred two million, two thousand, two hundred two".