101021122010120 has 256 divisors, whose sum is σ = 253981284480000. Its totient is φ = 35922890465280.

The previous prime is 101021122010117. The next prime is 101021122010147. The reversal of 101021122010120 is 21010221120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021122010095 and 101021122010104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7216302881 + ... + 7216316879.

It is an arithmetic number, because the mean of its divisors is an integer number (992114392500).

Almost surely, 2^{101021122010120} is an apocalyptic number.

101021122010120 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 101021122010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126990642240000).

101021122010120 is an abundant number, since it is smaller than the sum of its proper divisors (152960162469880).

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

101021122010120 is a wasteful number, since it uses less digits than its factorization.

101021122010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18560 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101021122010120 its reverse (21010221120101), we get a palindrome (122031343130221).

The spelling of 101021122010120 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, ten thousand, one hundred twenty".