120001121010 has 144 divisors (see below), whose sum is σ = 331022469960. Its totient is φ = 30142479360.

The previous prime is 120001120937. The next prime is 120001121021. The reversal of 120001121010 is 10121100021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2233413081 + 117767707929 = 47259^2 + 343173^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120001120983 and 120001121001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3083956 + ... + 3122624.

Almost surely, 2^120001121010 is an apocalyptic number.

120001121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120001121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165511234980).

120001121010 is an abundant number, since it is smaller than the sum of its proper divisors (211021348950).

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

120001121010 is a wasteful number, since it uses less digits than its factorization.

120001121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38781 (or 38749 counting only the distinct ones).

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

Adding to 120001121010 its reverse (10121100021), we get a palindrome (130122221031).

The spelling of 120001121010 in words is "one hundred twenty billion, one million, one hundred twenty-one thousand, ten".