212202022200102 has 72 divisors (see below), whose sum is σ = 505481995909800. Its totient is φ = 64289160619200.

The previous prime is 212202022200101. The next prime is 212202022200107. The reversal of 212202022200102 is 201002220202212.

212202022200102 is a `hidden beast` number, since 21 + 220 + 202 + 220 + 0 + 1 + 0 + 2 = 666.

It is a super-3 number, since 3×212202022200102³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202022200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1296852 + ... + 20641847.

It is an arithmetic number, because the mean of its divisors is an integer number (7020583276525).

Almost surely, 2^{212202022200102} is an apocalyptic number.

212202022200102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212202022200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252740997954900).

212202022200102 is an abundant number, since it is smaller than the sum of its proper divisors (293279973709698).

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

212202022200102 is a wasteful number, since it uses less digits than its factorization.

212202022200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21943170 (or 21943156 counting only the distinct ones).

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

Adding to 212202022200102 its reverse (201002220202212), we get a palindrome (413204242402314).

The spelling of 212202022200102 in words is "two hundred twelve trillion, two hundred two billion, twenty-two million, two hundred thousand, one hundred two".