100211221302000 has 320 divisors, whose sum is σ = 334998612049920. Its totient is φ = 25744981248000.

The previous prime is 100211221301927. The next prime is 100211221302001. The reversal of 100211221302000 is 203122112001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211221302001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40269996 + ... + 42686004.

It is an arithmetic number, because the mean of its divisors is an integer number (1046870662656).

Almost surely, 2^{100211221302000} is an apocalyptic number.

100211221302000 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 100211221302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167499306024960).

100211221302000 is an abundant number, since it is smaller than the sum of its proper divisors (234787390747920).

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

100211221302000 is a wasteful number, since it uses less digits than its factorization.

100211221302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416289 (or 2416273 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100211221302000 its reverse (203122112001), we get a palindrome (100414343414001).

The spelling of 100211221302000 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-one million, three hundred two thousand".