100220202221202 has 128 divisors (see below), whose sum is σ = 265698164736000. Its totient is φ = 27378620837568.

The previous prime is 100220202221197. The next prime is 100220202221261. The reversal of 100220202221202 is 202122202022001.

100220202221202 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 20 + 2 + 221 + 202 = 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 63 ways as a sum of consecutive naturals, for example, 19899823 + ... + 24422189.

It is an arithmetic number, because the mean of its divisors is an integer number (2075766912000).

Almost surely, 2^{100220202221202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220202221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132849082368000).

100220202221202 is an abundant number, since it is smaller than the sum of its proper divisors (165477962514798).

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

100220202221202 is a wasteful number, since it uses less digits than its factorization.

100220202221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524957 (or 4524951 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100220202221202 its reverse (202122202022001), we get a palindrome (302342404243203).

The spelling of 100220202221202 in words is "one hundred trillion, two hundred twenty billion, two hundred two million, two hundred twenty-one thousand, two hundred two".