100220333202000 has 1920 divisors, whose sum is σ = 395335831887360. Its totient is φ = 23457300480000.

The previous prime is 100220333201999. The next prime is 100220333202001. The reversal of 100220333202000 is 202333022001.

It is a happy number.

100220333202000 is a `hidden beast` number, since 100 + 220 + 3 + 3 + 320 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100220333201999) and next prime (100220333202001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220333202001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 257635817806 + ... + 257635818194.

It is an arithmetic number, because the mean of its divisors is an integer number (205904079108).

Almost surely, 2^{100220333202000} is an apocalyptic number.

100220333202000 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 100220333202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197667915943680).

100220333202000 is an abundant number, since it is smaller than the sum of its proper divisors (295115498685360).

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

100220333202000 is a wasteful number, since it uses less digits than its factorization.

100220333202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100220333202000 its reverse (202333022001), we get a palindrome (100422666224001).

The spelling of 100220333202000 in words is "one hundred trillion, two hundred twenty billion, three hundred thirty-three million, two hundred two thousand".