100212211001200 has 120 divisors (see below), whose sum is σ = 262170421916400. Its totient is φ = 36665665505280.

The previous prime is 100212211001101. The next prime is 100212211001207. The reversal of 100212211001200 is 2100112212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212211001207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227121277 + ... + 227562076.

It is an arithmetic number, because the mean of its divisors is an integer number (2184753515970).

Almost surely, 2^{100212211001200} is an apocalyptic number.

100212211001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212211001200 is an abundant number, since it is smaller than the sum of its proper divisors (161958210915200).

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

100212211001200 is a wasteful number, since it uses less digits than its factorization.

100212211001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454683419 (or 454683408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100212211001200 its reverse (2100112212001), we get a palindrome (102312323213201).

The spelling of 100212211001200 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, one thousand, two hundred".