100111021102200 has 192 divisors, whose sum is σ = 325464722496000. Its totient is φ = 25407244684800.

The previous prime is 100111021102181. The next prime is 100111021102201. The reversal of 100111021102200 is 2201120111001.

It is a super-2 number, since 2×100111021102200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111021102201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15480991 + ... + 20973390.

It is an arithmetic number, because the mean of its divisors is an integer number (1695128763000).

Almost surely, 2^{100111021102200} is an apocalyptic number.

100111021102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111021102200 is an abundant number, since it is smaller than the sum of its proper divisors (225353701393800).

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

100111021102200 is a wasteful number, since it uses less digits than its factorization.

100111021102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36454622 (or 36454613 counting only the distinct ones).

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

Adding to 100111021102200 its reverse (2201120111001), we get a palindrome (102312141213201).

The spelling of 100111021102200 in words is "one hundred trillion, one hundred eleven billion, twenty-one million, one hundred two thousand, two hundred".