101221210000 has 200 divisors, whose sum is σ = 252246855168. Its totient is φ = 39312000000.

The previous prime is 101221209967. The next prime is 101221210007. The reversal of 101221210000 is 12122101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101221210007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111109545 + ... + 111110455.

Almost surely, 2^101221210000 is an apocalyptic number.

101221210000 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 101221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126123427584).

101221210000 is an abundant number, since it is smaller than the sum of its proper divisors (151025645168).

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

101221210000 is an equidigital number, since it uses as much as digits as its factorization.

101221210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101221210000 its reverse (12122101), we get a palindrome (101233332101).

The spelling of 101221210000 in words is "one hundred one billion, two hundred twenty-one million, two hundred ten thousand".