100121122012200 has 576 divisors, whose sum is σ = 333283903464960. Its totient is φ = 24816277601280.

The previous prime is 100121122012193. The next prime is 100121122012201. The reversal of 100121122012200 is 2210221121001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100121122012200.

It is not an unprimeable number, because it can be changed into a prime (100121122012201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17135222479 + ... + 17135228321.

It is an arithmetic number, because the mean of its divisors is an integer number (578617887960).

Almost surely, 2^{100121122012200} is an apocalyptic number.

100121122012200 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 100121122012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166641951732480).

100121122012200 is an abundant number, since it is smaller than the sum of its proper divisors (233162781452760).

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

100121122012200 is a wasteful number, since it uses less digits than its factorization.

100121122012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100121122012200 its reverse (2210221121001), we get a palindrome (102331343133201).

The spelling of 100121122012200 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, two hundred".