100111110221200 has 240 divisors, whose sum is σ = 259415808825600. Its totient is φ = 36907405516800.

The previous prime is 100111110221167. The next prime is 100111110221233. The reversal of 100111110221200 is 2122011111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100111110221167) and next prime (100111110221233).

It is a super-2 number, since 2×100111110221200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 19986244296 + ... + 19986249304.

It is an arithmetic number, because the mean of its divisors is an integer number (1080899203440).

Almost surely, 2^{100111110221200} is an apocalyptic number.

100111110221200 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 100111110221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129707904412800).

100111110221200 is an abundant number, since it is smaller than the sum of its proper divisors (159304698604400).

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

100111110221200 is a wasteful number, since it uses less digits than its factorization.

100111110221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111110221200 its reverse (2122011111001), we get a palindrome (102233121332201).

The spelling of 100111110221200 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, two hundred twenty-one thousand, two hundred".