100121012022200 has 144 divisors (see below), whose sum is σ = 252484475896800. Its totient is φ = 36906240384000.

The previous prime is 100121012022181. The next prime is 100121012022233. The reversal of 100121012022200 is 2220210121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17849441 + ... + 22778159.

It is an arithmetic number, because the mean of its divisors is an integer number (1753364415950).

Almost surely, 2^{100121012022200} is an apocalyptic number.

100121012022200 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 100121012022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126242237948400).

100121012022200 is an abundant number, since it is smaller than the sum of its proper divisors (152363463874600).

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

100121012022200 is a wasteful number, since it uses less digits than its factorization.

100121012022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929362 (or 4929340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100121012022200 its reverse (2220210121001), we get a palindrome (102341222143201).

The spelling of 100121012022200 in words is "one hundred trillion, one hundred twenty-one billion, twelve million, twenty-two thousand, two hundred".