101221210000000 has 512 divisors, whose sum is σ = 259449085808640. Its totient is φ = 39312000000000.

The previous prime is 101221209999991. The next prime is 101221210000037. The reversal of 101221210000000 is 12122101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111109999545 + ... + 111110000455.

It is an arithmetic number, because the mean of its divisors is an integer number (506736495720).

Almost surely, 2^{101221210000000} is an apocalyptic number.

101221210000000 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 101221210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129724542904320).

101221210000000 is an abundant number, since it is smaller than the sum of its proper divisors (158227875808640).

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

101221210000000 is an frugal number, since it uses more digits than its factorization.

101221210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1230 counting only the distinct ones).

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

Adding to 101221210000000 its reverse (12122101), we get a palindrome (101221222122101).

The spelling of 101221210000000 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred ten million", and thus it is an aban number.