12101430221100 has 360 divisors, whose sum is σ = 42822184204800. Its totient is φ = 2931764630400.

The previous prime is 12101430221051. The next prime is 12101430221107. The reversal of 12101430221100 is 112203410121.

12101430221100 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 430 + 221 + 10 + 0 = 666.

It is a super-2 number, since 2×12101430221100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12101430221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138863341 + ... + 138950459.

It is an arithmetic number, because the mean of its divisors is an integer number (118950511680).

Almost surely, 2^{12101430221100} is an apocalyptic number.

12101430221100 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 12101430221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21411092102400).

12101430221100 is an abundant number, since it is smaller than the sum of its proper divisors (30720753983700).

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

12101430221100 is a wasteful number, since it uses less digits than its factorization.

12101430221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88715 (or 88699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12101430221100 its reverse (112203410121), we get a palindrome (12213633631221).

The spelling of 12101430221100 in words is "twelve trillion, one hundred one billion, four hundred thirty million, two hundred twenty-one thousand, one hundred".