10120101120 has 180 divisors, whose sum is σ = 36211943460. Its totient is φ = 2698665984.

The previous prime is 10120101113. The next prime is 10120101133. The reversal of 10120101120 is 2110102101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4051067904 + 6069033216 = 63648^2 + 77904^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54876 + ... + 152484.

Almost surely, 2^10120101120 is an apocalyptic number.

10120101120 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 10120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105971730).

10120101120 is an abundant number, since it is smaller than the sum of its proper divisors (26091842340).

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

10120101120 is an frugal number, since it uses more digits than its factorization.

10120101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97642 (or 97619 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120101120 its reverse (2110102101), we get a palindrome (12230203221).

The spelling of 10120101120 in words is "ten billion, one hundred twenty million, one hundred one thousand, one hundred twenty".