202213201002000 has 320 divisors, whose sum is σ = 658366584056064. Its totient is φ = 53392535347200.

The previous prime is 202213201001957. The next prime is 202213201002017. The reversal of 202213201002000 is 200102312202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 675816427 + ... + 676115573.

Almost surely, 2^{202213201002000} is an apocalyptic number.

202213201002000 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 202213201002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329183292028032).

202213201002000 is an abundant number, since it is smaller than the sum of its proper divisors (456153383054064).

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

202213201002000 is a wasteful number, since it uses less digits than its factorization.

202213201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300283 (or 300267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202213201002000 its reverse (200102312202), we get a palindrome (202413303314202).

The spelling of 202213201002000 in words is "two hundred two trillion, two hundred thirteen billion, two hundred one million, two thousand".