100202212222110 has 192 divisors, whose sum is σ = 263787915867840. Its totient is φ = 26387462400000.

The previous prime is 100202212222109. The next prime is 100202212222129. The reversal of 100202212222110 is 11222212202001.

It is a happy number.

100202212222110 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 221 + 222 + 211 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6729037765 + ... + 6729052655.

It is an arithmetic number, because the mean of its divisors is an integer number (1373895395145).

Almost surely, 2^{100202212222110} is an apocalyptic number.

100202212222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202212222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131893957933920).

100202212222110 is an abundant number, since it is smaller than the sum of its proper divisors (163585703645730).

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

100202212222110 is a wasteful number, since it uses less digits than its factorization.

100202212222110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16875 (or 16872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100202212222110 its reverse (11222212202001), we get a palindrome (111424424424111).

The spelling of 100202212222110 in words is "one hundred trillion, two hundred two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred ten".