101001201021120 has 672 divisors, whose sum is σ = 333329273879616. Its totient is φ = 25908844953600.

The previous prime is 101001201021041. The next prime is 101001201021143. The reversal of 101001201021120 is 21120102100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101001201021096 and 101001201021105.

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 95 ways as a sum of consecutive naturals, for example, 95194345390 + ... + 95194346450.

It is an arithmetic number, because the mean of its divisors is an integer number (496025705178).

Almost surely, 2^{101001201021120} is an apocalyptic number.

101001201021120 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 101001201021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166664636939808).

101001201021120 is an abundant number, since it is smaller than the sum of its proper divisors (232328072858496).

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

101001201021120 is a wasteful number, since it uses less digits than its factorization.

101001201021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001201021120 its reverse (21120102100101), we get a palindrome (122121303121221).

The spelling of 101001201021120 in words is "one hundred one trillion, one billion, two hundred one million, twenty-one thousand, one hundred twenty".