10100111221200 has 1920 divisors, whose sum is σ = 44792133120000. Its totient is φ = 1916974080000.

The previous prime is 10100111221199. The next prime is 10100111221217. The reversal of 10100111221200 is 212211100101.

It is a super-2 number, since 2×10100111221200² (a number of 27 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5944737951 + ... + 5944739649.

It is an arithmetic number, because the mean of its divisors is an integer number (23329236000).

Almost surely, 2^{10100111221200} is an apocalyptic number.

10100111221200 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 10100111221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22396066560000).

10100111221200 is an abundant number, since it is smaller than the sum of its proper divisors (34692021898800).

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

10100111221200 is a wasteful number, since it uses less digits than its factorization.

10100111221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1841 counting only the distinct ones).

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

Adding to 10100111221200 its reverse (212211100101), we get a palindrome (10312322321301).

The spelling of 10100111221200 in words is "ten trillion, one hundred billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".