101022121110120 has 256 divisors, whose sum is σ = 366912105868800. Its totient is φ = 21722040238080.

The previous prime is 101022121110101. The next prime is 101022121110121. The reversal of 101022121110120 is 21011121220101.

It is a happy number.

101022121110120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 101022121110120.

It is not an unprimeable number, because it can be changed into a prime (101022121110121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28016926 + ... + 31416434.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250413550).

Almost surely, 2^{101022121110120} is an apocalyptic number.

101022121110120 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 101022121110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456052934400).

101022121110120 is an abundant number, since it is smaller than the sum of its proper divisors (265889984758680).

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

101022121110120 is a wasteful number, since it uses less digits than its factorization.

101022121110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401628 (or 3401624 counting only the distinct ones).

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

Adding to 101022121110120 its reverse (21011121220101), we get a palindrome (122033242330221).

The spelling of 101022121110120 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".