100002212122020 has 192 divisors, whose sum is σ = 306112066251264. Its totient is φ = 24244080537600.

The previous prime is 100002212122003. The next prime is 100002212122027. The reversal of 100002212122020 is 20221212200001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100002212122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38662249 + ... + 41167631.

It is an arithmetic number, because the mean of its divisors is an integer number (1594333678392).

Almost surely, 2^{100002212122020} is an apocalyptic number.

100002212122020 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 100002212122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153056033125632).

100002212122020 is an abundant number, since it is smaller than the sum of its proper divisors (206109854129244).

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

100002212122020 is a wasteful number, since it uses less digits than its factorization.

100002212122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506182 (or 2506180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100002212122020 its reverse (20221212200001), we get a palindrome (120223424322021).

The spelling of 100002212122020 in words is "one hundred trillion, two billion, two hundred twelve million, one hundred twenty-two thousand, twenty".