1001022100120 has 128 divisors (see below), whose sum is σ = 2615833704960. Its totient is φ = 337650508800.

The previous prime is 1001022100109. The next prime is 1001022100123. The reversal of 1001022100120 is 210012201001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001022100097 and 1001022100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001022100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14730220 + ... + 14798020.

It is an arithmetic number, because the mean of its divisors is an integer number (20436200820).

Almost surely, 2^{1001022100120} is an apocalyptic number.

1001022100120 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 1001022100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307916852480).

1001022100120 is an abundant number, since it is smaller than the sum of its proper divisors (1614811604840).

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

1001022100120 is a wasteful number, since it uses less digits than its factorization.

1001022100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68673 (or 68669 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001022100120 its reverse (210012201001), we get a palindrome (1211034301121).

The spelling of 1001022100120 in words is "one trillion, one billion, twenty-two million, one hundred thousand, one hundred twenty".