2002213232100 has 216 divisors, whose sum is σ = 6291334078848. Its totient is φ = 532606176000.

The previous prime is 2002213232077. The next prime is 2002213232231. The reversal of 2002213232100 is 12323122002.

2002213232100 is a `hidden beast` number, since 20 + 0 + 221 + 323 + 2 + 100 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1053241150 + ... + 1053243050.

Almost surely, 2^{2002213232100} is an apocalyptic number.

2002213232100 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 2002213232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145667039424).

2002213232100 is an abundant number, since it is smaller than the sum of its proper divisors (4289120846748).

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

2002213232100 is a wasteful number, since it uses less digits than its factorization.

2002213232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2002213232100 its reverse (12323122002), we get a palindrome (2014536354102).

The spelling of 2002213232100 in words is "two trillion, two billion, two hundred thirteen million, two hundred thirty-two thousand, one hundred".