100302212020200 has 192 divisors, whose sum is σ = 315590341609920. Its totient is φ = 26346988800000.

The previous prime is 100302212020187. The next prime is 100302212020261. The reversal of 100302212020200 is 2020212203001.

It is a happy number.

It is a super-2 number, since 2×100302212020200² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100302212020200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001975150 + ... + 2002025250.

It is an arithmetic number, because the mean of its divisors is an integer number (1643699695885).

Almost surely, 2^{100302212020200} is an apocalyptic number.

100302212020200 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 100302212020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157795170804960).

100302212020200 is an abundant number, since it is smaller than the sum of its proper divisors (215288129589720).

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

100302212020200 is a wasteful number, since it uses less digits than its factorization.

100302212020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99988 (or 99979 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100302212020200 its reverse (2020212203001), we get a palindrome (102322424223201).

The spelling of 100302212020200 in words is "one hundred trillion, three hundred two billion, two hundred twelve million, twenty thousand, two hundred".