101221201110120 has 512 divisors, whose sum is σ = 374637312000000. Its totient is φ = 21305317662720.

The previous prime is 101221201110097. The next prime is 101221201110221. The reversal of 101221201110120 is 21011102122101.

It is a happy number.

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 101221201110120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20248287381 + ... + 20248292379.

It is an arithmetic number, because the mean of its divisors is an integer number (731713500000).

Almost surely, 2^{101221201110120} is an apocalyptic number.

101221201110120 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 101221201110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187318656000000).

101221201110120 is an abundant number, since it is smaller than the sum of its proper divisors (273416110889880).

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

101221201110120 is a wasteful number, since it uses less digits than its factorization.

101221201110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9113 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221201110120 its reverse (21011102122101), we get a palindrome (122232303232221).

The spelling of 101221201110120 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, one hundred ten thousand, one hundred twenty".