120201220100010 has 384 divisors, whose sum is σ = 347470721740800. Its totient is φ = 26517204403200.

The previous prime is 120201220099973. The next prime is 120201220100069. The reversal of 120201220100010 is 10001022102021.

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 191 ways as a sum of consecutive naturals, for example, 2123705691 + ... + 2123762289.

It is an arithmetic number, because the mean of its divisors is an integer number (904871671200).

Almost surely, 2^{120201220100010} is an apocalyptic number.

120201220100010 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 120201220100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173735360870400).

120201220100010 is an abundant number, since it is smaller than the sum of its proper divisors (227269501640790).

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

120201220100010 is a wasteful number, since it uses less digits than its factorization.

120201220100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57042 (or 57035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120201220100010 its reverse (10001022102021), we get a palindrome (130202242202031).

The spelling of 120201220100010 in words is "one hundred twenty trillion, two hundred one billion, two hundred twenty million, one hundred thousand, ten".