101020121120 has 96 divisors (see below), whose sum is σ = 252329515200. Its totient is φ = 38112408576.

The previous prime is 101020121089. The next prime is 101020121123. The reversal of 101020121120 is 21121020101.

101020121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101020121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616886 + ... + 763274.

It is an arithmetic number, because the mean of its divisors is an integer number (2628432450).

Almost surely, 2^101020121120 is an apocalyptic number.

101020121120 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 101020121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126164757600).

101020121120 is an abundant number, since it is smaller than the sum of its proper divisors (151309394080).

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

101020121120 is a wasteful number, since it uses less digits than its factorization.

101020121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146650 (or 146642 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101020121120 its reverse (21121020101), we get a palindrome (122141141221).

The spelling of 101020121120 in words is "one hundred one billion, twenty million, one hundred twenty-one thousand, one hundred twenty".