100212010020200 has 192 divisors, whose sum is σ = 252624987216000. Its totient is φ = 36749922739200.

The previous prime is 100212010020197. The next prime is 100212010020259. The reversal of 100212010020200 is 2020010212001.

It is a happy number.

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, 291124190 + ... + 291468210.

It is an arithmetic number, because the mean of its divisors is an integer number (1315755141750).

Almost surely, 2^{100212010020200} is an apocalyptic number.

100212010020200 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 100212010020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126312493608000).

100212010020200 is an abundant number, since it is smaller than the sum of its proper divisors (152412977195800).

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

100212010020200 is a wasteful number, since it uses less digits than its factorization.

100212010020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344812 (or 344803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100212010020200 its reverse (2020010212001), we get a palindrome (102232020232201).

The spelling of 100212010020200 in words is "one hundred trillion, two hundred twelve billion, ten million, twenty thousand, two hundred".