100202222133300 has 576 divisors, whose sum is σ = 336241783148544. Its totient is φ = 22567469875200.

The previous prime is 100202222133281. The next prime is 100202222133331. The reversal of 100202222133300 is 3331222202001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20545870462 + ... + 20545875338.

It is an arithmetic number, because the mean of its divisors is an integer number (583753095744).

Almost surely, 2^{100202222133300} is an apocalyptic number.

100202222133300 is a gapful number since it is divisible by the number (10) 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 100202222133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168120891574272).

100202222133300 is an abundant number, since it is smaller than the sum of its proper divisors (236039561015244).

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

100202222133300 is a wasteful number, since it uses less digits than its factorization.

100202222133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100202222133300 its reverse (3331222202001), we get a palindrome (103533444335301).

The spelling of 100202222133300 in words is "one hundred trillion, two hundred two billion, two hundred twenty-two million, one hundred thirty-three thousand, three hundred".