120011001020010 has 128 divisors (see below), whose sum is σ = 324090145152000. Its totient is φ = 31596877218816.

The previous prime is 120011001019997. The next prime is 120011001020011. The reversal of 120011001020010 is 10020100110021.

It is a happy number.

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 = 120011001019974 and 120011001020001.

It is not an unprimeable number, because it can be changed into a prime (120011001020011) 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, 957505026 + ... + 957630354.

It is an arithmetic number, because the mean of its divisors is an integer number (2531954259000).

Almost surely, 2^{120011001020010} is an apocalyptic number.

120011001020010 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 120011001020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162045072576000).

120011001020010 is an abundant number, since it is smaller than the sum of its proper divisors (204079144131990).

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

120011001020010 is a wasteful number, since it uses less digits than its factorization.

120011001020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170317 (or 170311 counting only the distinct ones).

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

Adding to 120011001020010 its reverse (10020100110021), we get a palindrome (130031101130031).

The spelling of 120011001020010 in words is "one hundred twenty trillion, eleven billion, one million, twenty thousand, ten".