100212202001200 has 30 divisors (see below), whose sum is σ = 240759815308844. Its totient is φ = 40084880800320.

The previous prime is 100212202001117. The next prime is 100212202001201. The reversal of 100212202001200 is 2100202212001.

It is a happy number.

It is a super-3 number, since 3×100212202001200³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212202001201) 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 5 ways as a sum of consecutive naturals, for example, 125265252102 + ... + 125265252901.

Almost surely, 2^{100212202001200} is an apocalyptic number.

100212202001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212202001200 is an abundant number, since it is smaller than the sum of its proper divisors (140547613307644).

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

100212202001200 is a wasteful number, since it uses less digits than its factorization.

100212202001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250530505021 (or 250530505010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100212202001200 its reverse (2100202212001), we get a palindrome (102312404213201).

The spelling of 100212202001200 in words is "one hundred trillion, two hundred twelve billion, two hundred two million, one thousand, two hundred".