202221121202000 has 40 divisors (see below), whose sum is σ = 488970671071272. Its totient is φ = 80888448480000.

The previous prime is 202221121201999. The next prime is 202221121202003. The reversal of 202221121202000 is 202121122202.

It is a happy number.

202221121202000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 958777805584 + 201262343396416 = 979172^2 + 14186696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 202221121202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221121202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50555278301 + ... + 50555282300.

Almost surely, 2^{202221121202000} is an apocalyptic number.

202221121202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221121202000 is an abundant number, since it is smaller than the sum of its proper divisors (286749549869272).

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

202221121202000 is a wasteful number, since it uses less digits than its factorization.

202221121202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101110560624 (or 101110560608 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202221121202000 its reverse (202121122202), we get a palindrome (202423242324202).

The spelling of 202221121202000 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred two thousand".