202202000000000 has 1760 divisors, whose sum is σ = 685105242345216. Its totient is φ = 57600000000000.

The previous prime is 202201999999973. The next prime is 202202000000059. The reversal of 202202000000000 is 202202.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2001999999950 + ... + 2002000000050.

Almost surely, 2^{202202000000000} is an apocalyptic number.

202202000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202202000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342552621172608).

202202000000000 is an abundant number, since it is smaller than the sum of its proper divisors (482903242345216).

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

202202000000000 is an frugal number, since it uses more digits than its factorization.

202202000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 202202000000000 its reverse (202202), we get a palindrome (202202000202202).

202202000000000 divided by its reverse (202202) gives a 9-th power (1000000000 = 10⁹).

It can be divided in two parts, 202 and 202000000000, that added together give a palindrome (202000000202).

The spelling of 202202000000000 in words is "two hundred two trillion, two hundred two billion", and thus it is an aban number.