100101012211200 has 1920 divisors, whose sum is σ = 444592578253824. Its totient is φ = 19173998592000.

The previous prime is 100101012211181. The next prime is 100101012211231. The reversal of 100101012211200 is 2112210101001.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39706865940 + ... + 39706868460.

Almost surely, 2^{100101012211200} is an apocalyptic number.

100101012211200 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 100101012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222296289126912).

100101012211200 is an abundant number, since it is smaller than the sum of its proper divisors (344491566042624).

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

100101012211200 is a wasteful number, since it uses less digits than its factorization.

100101012211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101012211200 its reverse (2112210101001), we get a palindrome (102213222312201).

The spelling of 100101012211200 in words is "one hundred trillion, one hundred one billion, twelve million, two hundred eleven thousand, two hundred".