101221121020200 has 192 divisors, whose sum is σ = 317416498924800. Its totient is φ = 26681129395200.

The previous prime is 101221121020193. The next prime is 101221121020213. The reversal of 101221121020200 is 2020121122101.

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 101221121020200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25695249 + ... + 29371551.

It is an arithmetic number, because the mean of its divisors is an integer number (1653210931900).

Almost surely, 2^{101221121020200} is an apocalyptic number.

101221121020200 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 101221121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158708249462400).

101221121020200 is an abundant number, since it is smaller than the sum of its proper divisors (216195377904600).

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

101221121020200 is a wasteful number, since it uses less digits than its factorization.

101221121020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676852 (or 3676843 counting only the distinct ones).

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

Adding to 101221121020200 its reverse (2020121122101), we get a palindrome (103241242142301).

The spelling of 101221121020200 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty thousand, two hundred".